Feit–Thompson theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Feit–Thompson theorem" in English language version.

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ams.org (Global: 451^st place; English: 277^th place)

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Feit and Thompson (1962, 1963). Feit, Walter; Thompson, John G. (1962), "A solvability criterion for finite groups and some consequences", Proc. Natl. Acad. Sci., 48 (6): 968–970, Bibcode:1962PNAS...48..968F, doi:10.1073/pnas.48.6.968, JSTOR 71265, MR 0143802, PMC 220889, PMID 16590960 Feit, Walter; Thompson, John G. (1963), "Solvability of groups of odd order", Pacific Journal of Mathematics, 13: 775–1029, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, MR 0166261
Burnside (1911), p. 503 note M. Burnside, William (1911), Theory of groups of finite order, New York: Dover Publications, ISBN 978-0-486-49575-0, MR 0069818 {{citation}}: ISBN / Date incompatibility (help)
Brauer (1957). Brauer, R. (1957), "On the structure of groups of finite order", Proceedings of the International Congress of Mathematicians, Amsterdam, 1954, Vol. 1, Erven P. Noordhoff N.V., Groningen, pp. 209–217, MR 0095203, archived from the original on 2011-03-05, retrieved 2010-11-14
Suzuki (1957). Suzuki, Michio (1957), "The nonexistence of a certain type of simple groups of odd order", Proceedings of the American Mathematical Society, 8 (4), Proceedings of the American Mathematical Society, Vol. 8, No. 4: 686–695, doi:10.2307/2033280, JSTOR 2033280, MR 0086818
Feit, Thompson & Hall (1960). Feit, Walter; Thompson, John G.; Hall, Marshall Jr. (1960), "Finite groups in which the centralizer of any non-identity element is nilpotent", Math. Z., 74: 1–17, doi:10.1007/BF01180468, MR 0114856, S2CID 120550114
Aschbacher and Smith (2004, 2004b). Aschbacher, Michael; Smith, Stephen D. (2004), The classification of quasithin groups. I Structure of Strongly Quasithin K-groups, Mathematical Surveys and Monographs, vol. 111, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-3410-7, MR 2097623 Aschbacher, Michael; Smith, Stephen D. (2004b), The classification of quasithin groups. II Main theorems: the classification of simple QTKE-groups., Mathematical Surveys and Monographs, vol. 112, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-3411-4, MR 2097624
Bender & Glauberman (1994). Bender, Helmut; Glauberman, George (1994), Local analysis for the odd order theorem, London Mathematical Society Lecture Note Series, vol. 188, Cambridge University Press, ISBN 978-0-521-45716-3, MR 1311244
Peterfalvi (2000), part I. Peterfalvi, Thomas (2000), Character theory for the odd order theorem, London Mathematical Society Lecture Note Series, vol. 272, Cambridge University Press, doi:10.1017/CBO9780511565861, ISBN 978-0-521-64660-4, MR 1747393
For a more detailed exposition of the odd order paper see Thompson (1963) or Gorenstein (1980) or Glauberman (1999). Thompson, John G. (1963), "Two results about finite groups", Proc. Internat. Congr. Mathematicians (Stockholm, 1962), Djursholm: Inst. Mittag-Leffler, pp. 296–300, MR 0175972, archived from the original on 2011-07-17, retrieved 2010-11-14 Gorenstein, D. (1980), Finite groups (2nd ed.), New York: Chelsea Publishing Co., ISBN 978-0-8284-0301-6, MR 0569209 Glauberman, George (1999), "A new look at the Feit–Thompson odd order theorem", Matemática Contemporânea, 16: 73–92, ISSN 0103-9059, MR 1756828
Peterfalvi (2000) described a simplified version the character theory due to Dade, Sibley, and Peterfalvi. Peterfalvi, Thomas (2000), Character theory for the odd order theorem, London Mathematical Society Lecture Note Series, vol. 272, Cambridge University Press, doi:10.1017/CBO9780511565861, ISBN 978-0-521-64660-4, MR 1747393
Peterfalvi's argument is reproduced in Bender & Glauberman (1994). Bender, Helmut; Glauberman, George (1994), Local analysis for the odd order theorem, London Mathematical Society Lecture Note Series, vol. 188, Cambridge University Press, ISBN 978-0-521-45716-3, MR 1311244

ams.org

Aschbacher and Smith (2004, 2004b). Aschbacher, Michael; Smith, Stephen D. (2004), The classification of quasithin groups. I Structure of Strongly Quasithin K-groups, Mathematical Surveys and Monographs, vol. 111, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-3410-7, MR 2097623 Aschbacher, Michael; Smith, Stephen D. (2004b), The classification of quasithin groups. II Main theorems: the classification of simple QTKE-groups., Mathematical Surveys and Monographs, vol. 112, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-3411-4, MR 2097624
For a more detailed exposition of the odd order paper see Thompson (1963) or Gorenstein (1980) or Glauberman (1999). Thompson, John G. (1963), "Two results about finite groups", Proc. Internat. Congr. Mathematicians (Stockholm, 1962), Djursholm: Inst. Mittag-Leffler, pp. 296–300, MR 0175972, archived from the original on 2011-07-17, retrieved 2010-11-14 Gorenstein, D. (1980), Finite groups (2nd ed.), New York: Chelsea Publishing Co., ISBN 978-0-8284-0301-6, MR 0569209 Glauberman, George (1999), "A new look at the Feit–Thompson odd order theorem", Matemática Contemporânea, 16: 73–92, ISSN 0103-9059, MR 1756828

arxiv.org (Global: 69^th place; English: 59^th place)

Khukhro & Mazurov (2023), 4.65. Khukhro, Evgeny; Mazurov, Victor (2023), "Unsolved Problems in Group Theory. The Kourovka Notebook. No. 20", arXiv:1401.0300v28 [math.GR]

books.google.com (Global: 3^rd place; English: 3^rd place)

Burnside (1911), p. 503 note M. Burnside, William (1911), Theory of groups of finite order, New York: Dover Publications, ISBN 978-0-486-49575-0, MR 0069818 {{citation}}: ISBN / Date incompatibility (help)
Peterfalvi (2000), part I. Peterfalvi, Thomas (2000), Character theory for the odd order theorem, London Mathematical Society Lecture Note Series, vol. 272, Cambridge University Press, doi:10.1017/CBO9780511565861, ISBN 978-0-521-64660-4, MR 1747393
Peterfalvi (2000) described a simplified version the character theory due to Dade, Sibley, and Peterfalvi. Peterfalvi, Thomas (2000), Character theory for the odd order theorem, London Mathematical Society Lecture Note Series, vol. 272, Cambridge University Press, doi:10.1017/CBO9780511565861, ISBN 978-0-521-64660-4, MR 1747393

doi.org (Global: 2^nd place; English: 2^nd place)

Feit and Thompson (1962, 1963). Feit, Walter; Thompson, John G. (1962), "A solvability criterion for finite groups and some consequences", Proc. Natl. Acad. Sci., 48 (6): 968–970, Bibcode:1962PNAS...48..968F, doi:10.1073/pnas.48.6.968, JSTOR 71265, MR 0143802, PMC 220889, PMID 16590960 Feit, Walter; Thompson, John G. (1963), "Solvability of groups of odd order", Pacific Journal of Mathematics, 13: 775–1029, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, MR 0166261
Suzuki (1957). Suzuki, Michio (1957), "The nonexistence of a certain type of simple groups of odd order", Proceedings of the American Mathematical Society, 8 (4), Proceedings of the American Mathematical Society, Vol. 8, No. 4: 686–695, doi:10.2307/2033280, JSTOR 2033280, MR 0086818
Feit, Thompson & Hall (1960). Feit, Walter; Thompson, John G.; Hall, Marshall Jr. (1960), "Finite groups in which the centralizer of any non-identity element is nilpotent", Math. Z., 74: 1–17, doi:10.1007/BF01180468, MR 0114856, S2CID 120550114
Gonthier, Georges; Asperti, Andrea; Avigad, Jeremy; Bertot, Yves; Cohen, Cyril; Garillot, François; Le Roux, Stéphane; Mahboubi, Assia; O’Connor, Russell; Ould Biha, Sidi; Pasca, Ioana; Rideau, Laurence; Solovyev, Alexey; Tassi, Enrico; Théry, Laurent (2013), "A Machine-Checked Proof of the Odd Order Theorem", Interactive Theorem Proving, vol. 7998, Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 163–179, doi:10.1007/978-3-642-39634-2_14, ISBN 978-3-642-39633-5, retrieved 2025-05-10
Feit, Walter; Thompson, John (1963-09-01), "Chapter I, from Solvability of groups of odd order, Pacific J. Math, vol. 13, no. 3 (1963" (PDF), Pacific Journal of Mathematics, 13 (3): 775–787, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, retrieved 2025-05-10
Peterfalvi (2000), part I. Peterfalvi, Thomas (2000), Character theory for the odd order theorem, London Mathematical Society Lecture Note Series, vol. 272, Cambridge University Press, doi:10.1017/CBO9780511565861, ISBN 978-0-521-64660-4, MR 1747393
Peterfalvi (2000) described a simplified version the character theory due to Dade, Sibley, and Peterfalvi. Peterfalvi, Thomas (2000), Character theory for the odd order theorem, London Mathematical Society Lecture Note Series, vol. 272, Cambridge University Press, doi:10.1017/CBO9780511565861, ISBN 978-0-521-64660-4, MR 1747393

hal.science (Global: low place; English: low place)

inria.hal.science

Gonthier, Georges; Asperti, Andrea; Avigad, Jeremy; Bertot, Yves; Cohen, Cyril; Garillot, François; Le Roux, Stéphane; Mahboubi, Assia; O’Connor, Russell; Ould Biha, Sidi; Pasca, Ioana; Rideau, Laurence; Solovyev, Alexey; Tassi, Enrico; Théry, Laurent (2013), "A Machine-Checked Proof of the Odd Order Theorem", Interactive Theorem Proving, vol. 7998, Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 163–179, doi:10.1007/978-3-642-39634-2_14, ISBN 978-3-642-39633-5, retrieved 2025-05-10

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Feit and Thompson (1962, 1963). Feit, Walter; Thompson, John G. (1962), "A solvability criterion for finite groups and some consequences", Proc. Natl. Acad. Sci., 48 (6): 968–970, Bibcode:1962PNAS...48..968F, doi:10.1073/pnas.48.6.968, JSTOR 71265, MR 0143802, PMC 220889, PMID 16590960 Feit, Walter; Thompson, John G. (1963), "Solvability of groups of odd order", Pacific Journal of Mathematics, 13: 775–1029, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, MR 0166261

jstor.org (Global: 26^th place; English: 20^th place)

Feit and Thompson (1962, 1963). Feit, Walter; Thompson, John G. (1962), "A solvability criterion for finite groups and some consequences", Proc. Natl. Acad. Sci., 48 (6): 968–970, Bibcode:1962PNAS...48..968F, doi:10.1073/pnas.48.6.968, JSTOR 71265, MR 0143802, PMC 220889, PMID 16590960 Feit, Walter; Thompson, John G. (1963), "Solvability of groups of odd order", Pacific Journal of Mathematics, 13: 775–1029, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, MR 0166261
Suzuki (1957). Suzuki, Michio (1957), "The nonexistence of a certain type of simple groups of odd order", Proceedings of the American Mathematical Society, 8 (4), Proceedings of the American Mathematical Society, Vol. 8, No. 4: 686–695, doi:10.2307/2033280, JSTOR 2033280, MR 0086818

mathunion.org (Global: 9,965^th place; English: 7,919^th place)

Brauer (1957). Brauer, R. (1957), "On the structure of groups of finite order", Proceedings of the International Congress of Mathematicians, Amsterdam, 1954, Vol. 1, Erven P. Noordhoff N.V., Groningen, pp. 209–217, MR 0095203, archived from the original on 2011-03-05, retrieved 2010-11-14
For a more detailed exposition of the odd order paper see Thompson (1963) or Gorenstein (1980) or Glauberman (1999). Thompson, John G. (1963), "Two results about finite groups", Proc. Internat. Congr. Mathematicians (Stockholm, 1962), Djursholm: Inst. Mittag-Leffler, pp. 296–300, MR 0175972, archived from the original on 2011-07-17, retrieved 2010-11-14 Gorenstein, D. (1980), Finite groups (2nd ed.), New York: Chelsea Publishing Co., ISBN 978-0-8284-0301-6, MR 0569209 Glauberman, George (1999), "A new look at the Feit–Thompson odd order theorem", Matemática Contemporânea, 16: 73–92, ISSN 0103-9059, MR 1756828

msp.org (Global: low place; English: low place)

Feit, Walter; Thompson, John (1963-09-01), "Chapter I, from Solvability of groups of odd order, Pacific J. Math, vol. 13, no. 3 (1963" (PDF), Pacific Journal of Mathematics, 13 (3): 775–787, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, retrieved 2025-05-10

msr-inria.fr (Global: low place; English: low place)

"Feit–Thompson theorem has been totally checked in Coq", Msr-inria.inria.fr, 2012-09-20, archived from the original on 2016-11-19, retrieved 2012-09-25

nih.gov (Global: 4^th place; English: 4^th place)

ncbi.nlm.nih.gov

Feit and Thompson (1962, 1963). Feit, Walter; Thompson, John G. (1962), "A solvability criterion for finite groups and some consequences", Proc. Natl. Acad. Sci., 48 (6): 968–970, Bibcode:1962PNAS...48..968F, doi:10.1073/pnas.48.6.968, JSTOR 71265, MR 0143802, PMC 220889, PMID 16590960 Feit, Walter; Thompson, John G. (1963), "Solvability of groups of odd order", Pacific Journal of Mathematics, 13: 775–1029, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, MR 0166261

pubmed.ncbi.nlm.nih.gov

Feit and Thompson (1962, 1963). Feit, Walter; Thompson, John G. (1962), "A solvability criterion for finite groups and some consequences", Proc. Natl. Acad. Sci., 48 (6): 968–970, Bibcode:1962PNAS...48..968F, doi:10.1073/pnas.48.6.968, JSTOR 71265, MR 0143802, PMC 220889, PMID 16590960 Feit, Walter; Thompson, John G. (1963), "Solvability of groups of odd order", Pacific Journal of Mathematics, 13: 775–1029, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, MR 0166261

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

Feit and Thompson (1962, 1963). Feit, Walter; Thompson, John G. (1962), "A solvability criterion for finite groups and some consequences", Proc. Natl. Acad. Sci., 48 (6): 968–970, Bibcode:1962PNAS...48..968F, doi:10.1073/pnas.48.6.968, JSTOR 71265, MR 0143802, PMC 220889, PMID 16590960 Feit, Walter; Thompson, John G. (1963), "Solvability of groups of odd order", Pacific Journal of Mathematics, 13: 775–1029, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, MR 0166261

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Feit, Thompson & Hall (1960). Feit, Walter; Thompson, John G.; Hall, Marshall Jr. (1960), "Finite groups in which the centralizer of any non-identity element is nilpotent", Math. Z., 74: 1–17, doi:10.1007/BF01180468, MR 0114856, S2CID 120550114

unb.br (Global: 7,620^th place; English: low place)

mat.unb.br

For a more detailed exposition of the odd order paper see Thompson (1963) or Gorenstein (1980) or Glauberman (1999). Thompson, John G. (1963), "Two results about finite groups", Proc. Internat. Congr. Mathematicians (Stockholm, 1962), Djursholm: Inst. Mittag-Leffler, pp. 296–300, MR 0175972, archived from the original on 2011-07-17, retrieved 2010-11-14 Gorenstein, D. (1980), Finite groups (2nd ed.), New York: Chelsea Publishing Co., ISBN 978-0-8284-0301-6, MR 0569209 Glauberman, George (1999), "A new look at the Feit–Thompson odd order theorem", Matemática Contemporânea, 16: 73–92, ISSN 0103-9059, MR 1756828

web.archive.org (Global: 1^st place; English: 1^st place)

Brauer (1957). Brauer, R. (1957), "On the structure of groups of finite order", Proceedings of the International Congress of Mathematicians, Amsterdam, 1954, Vol. 1, Erven P. Noordhoff N.V., Groningen, pp. 209–217, MR 0095203, archived from the original on 2011-03-05, retrieved 2010-11-14
"Feit–Thompson theorem has been totally checked in Coq", Msr-inria.inria.fr, 2012-09-20, archived from the original on 2016-11-19, retrieved 2012-09-25
For a more detailed exposition of the odd order paper see Thompson (1963) or Gorenstein (1980) or Glauberman (1999). Thompson, John G. (1963), "Two results about finite groups", Proc. Internat. Congr. Mathematicians (Stockholm, 1962), Djursholm: Inst. Mittag-Leffler, pp. 296–300, MR 0175972, archived from the original on 2011-07-17, retrieved 2010-11-14 Gorenstein, D. (1980), Finite groups (2nd ed.), New York: Chelsea Publishing Co., ISBN 978-0-8284-0301-6, MR 0569209 Glauberman, George (1999), "A new look at the Feit–Thompson odd order theorem", Matemática Contemporânea, 16: 73–92, ISSN 0103-9059, MR 1756828

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Feit and Thompson (1962, 1963). Feit, Walter; Thompson, John G. (1962), "A solvability criterion for finite groups and some consequences", Proc. Natl. Acad. Sci., 48 (6): 968–970, Bibcode:1962PNAS...48..968F, doi:10.1073/pnas.48.6.968, JSTOR 71265, MR 0143802, PMC 220889, PMID 16590960 Feit, Walter; Thompson, John G. (1963), "Solvability of groups of odd order", Pacific Journal of Mathematics, 13: 775–1029, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, MR 0166261
Feit, Walter; Thompson, John (1963-09-01), "Chapter I, from Solvability of groups of odd order, Pacific J. Math, vol. 13, no. 3 (1963" (PDF), Pacific Journal of Mathematics, 13 (3): 775–787, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, retrieved 2025-05-10
For a more detailed exposition of the odd order paper see Thompson (1963) or Gorenstein (1980) or Glauberman (1999). Thompson, John G. (1963), "Two results about finite groups", Proc. Internat. Congr. Mathematicians (Stockholm, 1962), Djursholm: Inst. Mittag-Leffler, pp. 296–300, MR 0175972, archived from the original on 2011-07-17, retrieved 2010-11-14 Gorenstein, D. (1980), Finite groups (2nd ed.), New York: Chelsea Publishing Co., ISBN 978-0-8284-0301-6, MR 0569209 Glauberman, George (1999), "A new look at the Feit–Thompson odd order theorem", Matemática Contemporânea, 16: 73–92, ISSN 0103-9059, MR 1756828

Feit–Thompson theorem (English Wikipedia)

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ams.org (Global: 451^st place; English: 277^th place)

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mathunion.org (Global: 9,965^th place; English: 7,919^th place)

nih.gov (Global: 4^th place; English: 4^th place)

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

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