Monster group (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Monster group" in English language version.

refsWebsite

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17ams.org

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14doi.org

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6semanticscholar.org

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6arxiv.org

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4harvard.edu

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2qmul.ac.uk

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1worldcat.org

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1umich.edu

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1handle.net

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1numdam.org

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1zbmath.org

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1web.archive.org

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1bham.ac.uk

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1mmgroup.readthedocs.io

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1neverendingbooks.org

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1ias.edu

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1youtube.com

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1theguardian.com

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ams.org

mathscinet.ams.org

Griess 1976, pp. 113–118. Griess, Robert L. (1976). "The structure of the monster simple group". In Scott, W. Richard; Gross, Fletcher (eds.). Proceedings of the Conference on Finite Groups (Univ. Utah, 1975). Boston, MA: Academic Press. pp. 113–118. ISBN 978-012633650-4. MR 0399248.
Griess 1982, pp. 1–102. Griess, Robert L. (1982). "The friendly giant" (PDF). Inventiones Mathematicae. 69 (1): 1–102. Bibcode:1982InMat..69....1G. doi:10.1007/BF01389186. hdl:2027.42/46608. MR 0671653. S2CID 123597150.
Conway 1985, pp. 513–540. Conway, John Horton (1985). "A simple construction for the Fischer–Griess monster group". Inventiones Mathematicae. 79 (3): 513–540. Bibcode:1985InMat..79..513C. doi:10.1007/BF01388521. MR 0782233. S2CID 123340529.
Tits 1983, pp. 105–122. Tits, Jacques (1983). "Le Monstre (d'après R. Griess, B. Fischer et al.)". Astérisque (121): 105–122. MR 0768956. Zbl 0548.20010.
Tits 1984, pp. 491–499. Tits, Jacques (1984). "On R. Griess' "friendly giant"". Inventiones Mathematicae. 78 (3): 491–499. Bibcode:1984InMat..78..491T. doi:10.1007/BF01388446. MR 0768989. S2CID 122379975.
Thompson 1979, pp. 340–346. Thompson, John G. (1979). "Uniqueness of the Fischer-Griess monster". The Bulletin of the London Mathematical Society. 11 (3): 340–346. doi:10.1112/blms/11.3.340. MR 0554400.
Norton 1985, pp. 271–285. Norton, Simon P. (1985). "The uniqueness of the Fischer–Griess Monster". Finite groups—coming of age (Montreal, Que., 1982). Contemp. Math. Vol. 45. Providence RI: American Mathematical Society. pp. 271–285. doi:10.1090/conm/045/822242. ISBN 978-082185047-3. MR 0822242.
Griess, Meierfrankenfeld & Segev 1989, pp. 567–602. Griess, Robert L.; Meierfrankenfeld, Ulrich; Segev, Yoav (1989). "A uniqueness proof for the Monster". Annals of Mathematics. Second Series. 130 (3): 567–602. doi:10.2307/1971455. JSTOR 1971455. MR 1025167.
Thompson 1984, p. 443. Thompson, John G. (1984). "Some finite groups which appear as Gal L/K, where K ⊆ Q(μ_n)". Journal of Algebra. 89 (2): 437–499. doi:10.1016/0021-8693(84)90228-X. MR 0751155.
Wilson 2001, pp. 367–374. Wilson, Robert A. (2001). "The Monster is a Hurwitz group". Journal of Group Theory. 4 (4): 367–374. doi:10.1515/jgth.2001.027. MR 1859175. Archived from the original on 2012-03-05.
Wilson 2010, pp. 393–403. Wilson, Robert A. (2010). "New computations in the Monster". Moonshine: the first quarter century and beyond. London Math. Soc. Lecture Note Ser. Vol. 372. Cambridge University Press. pp. 393–403. ISBN 978-052110664-1. MR 2681789.
Wilson 2016, pp. 355–364. Wilson, Robert A. (2016). "Is the Suzuki group Sz(8) a subgroup of the Monster?" (PDF). Bulletin of the London Mathematical Society. 48 (2): 355–364. doi:10.1112/blms/bdw012. MR 3483073. S2CID 123219818.
Holmes & Wilson 2008, pp. 2653–2667. Holmes, Petra E.; Wilson, Robert A. (2008). "On subgroups of the Monster containing A₅'s". Journal of Algebra. 319 (7): 2653–2667. doi:10.1016/j.jalgebra.2003.11.014. MR 2397402.
Holmes & Wilson 2004, pp. 141–152. Holmes, Petra E.; Wilson, Robert A. (2004). "PSL₂(59) is a subgroup of the Monster". Journal of the London Mathematical Society. Second Series. 69 (1): 141–152. doi:10.1112/S0024610703004915. MR 2025332. S2CID 122913546.
Holmes & Wilson 2002, pp. 435–447. Holmes, Petra E.; Wilson, Robert A. (2002). "A new maximal subgroup of the Monster". Journal of Algebra. 251 (1): 435–447. doi:10.1006/jabr.2001.9037. MR 1900293.

ams.org

Borcherds 2002, p. 1076. Borcherds, Richard E. (October 2002). "What is... The Monster?" (PDF). Notices of the American Mathematical Society. 49 (9).
Borcherds 2002, p. 1077. Borcherds, Richard E. (October 2002). "What is... The Monster?" (PDF). Notices of the American Mathematical Society. 49 (9).

arxiv.org

Seysen, Martin (8 Mar 2022). "A fast implementation of the Monster group". arXiv:2203.04223 [math.GR].
Seysen, Martin (13 May 2020). "A computer-friendly construction of the monster". arXiv:2002.10921 [math.GR].
Wilson, Robert A. (18 Oct 2013). "The Monster and black-box groups". arXiv:1310.5016 [math.GR].
Dietrich, Lee & Popiel 2023. Dietrich, Heiko; Lee, Melissa; Popiel, Tomasz (6 December 2023). "The maximal subgroups of the Monster". arXiv:2304.14646 [GR math. GR]. Bibcode:2023arXiv230414646D.
Duncan 2008. Duncan, John F. (2008). "Arithmetic groups and the affine E8 Dynkin diagram". arXiv:0810.1465 [RT math. RT].
He & McKay 2015. He, Yang-Hui; McKay, John (25 May 2015). "Sporadic and Exceptional". arXiv:1505.06742 [AG math. AG].

bham.ac.uk

web.mat.bham.ac.uk

Wilson 2001, pp. 367–374. Wilson, Robert A. (2001). "The Monster is a Hurwitz group". Journal of Group Theory. 4 (4): 367–374. doi:10.1515/jgth.2001.027. MR 1859175. Archived from the original on 2012-03-05.

doi.org

Griess 1982, pp. 1–102. Griess, Robert L. (1982). "The friendly giant" (PDF). Inventiones Mathematicae. 69 (1): 1–102. Bibcode:1982InMat..69....1G. doi:10.1007/BF01389186. hdl:2027.42/46608. MR 0671653. S2CID 123597150.
Conway 1985, pp. 513–540. Conway, John Horton (1985). "A simple construction for the Fischer–Griess monster group". Inventiones Mathematicae. 79 (3): 513–540. Bibcode:1985InMat..79..513C. doi:10.1007/BF01388521. MR 0782233. S2CID 123340529.
Tits 1984, pp. 491–499. Tits, Jacques (1984). "On R. Griess' "friendly giant"". Inventiones Mathematicae. 78 (3): 491–499. Bibcode:1984InMat..78..491T. doi:10.1007/BF01388446. MR 0768989. S2CID 122379975.
Thompson 1979, pp. 340–346. Thompson, John G. (1979). "Uniqueness of the Fischer-Griess monster". The Bulletin of the London Mathematical Society. 11 (3): 340–346. doi:10.1112/blms/11.3.340. MR 0554400.
Norton 1985, pp. 271–285. Norton, Simon P. (1985). "The uniqueness of the Fischer–Griess Monster". Finite groups—coming of age (Montreal, Que., 1982). Contemp. Math. Vol. 45. Providence RI: American Mathematical Society. pp. 271–285. doi:10.1090/conm/045/822242. ISBN 978-082185047-3. MR 0822242.
Griess, Meierfrankenfeld & Segev 1989, pp. 567–602. Griess, Robert L.; Meierfrankenfeld, Ulrich; Segev, Yoav (1989). "A uniqueness proof for the Monster". Annals of Mathematics. Second Series. 130 (3): 567–602. doi:10.2307/1971455. JSTOR 1971455. MR 1025167.
Thompson 1984, p. 443. Thompson, John G. (1984). "Some finite groups which appear as Gal L/K, where K ⊆ Q(μ_n)". Journal of Algebra. 89 (2): 437–499. doi:10.1016/0021-8693(84)90228-X. MR 0751155.
Wilson 2001, pp. 367–374. Wilson, Robert A. (2001). "The Monster is a Hurwitz group". Journal of Group Theory. 4 (4): 367–374. doi:10.1515/jgth.2001.027. MR 1859175. Archived from the original on 2012-03-05.
Norton & Wilson 2013, pp. 943–962. Norton, Simon P.; Wilson, Robert A. (2013). "A correction to the 41-structure of the Monster, a construction of a new maximal subgroup L2(41) and a new Moonshine phenomenon" (PDF). Journal of the London Mathematical Society. Second Series. 87 (3): 943–962. doi:10.1112/jlms/jds078. S2CID 7075719.
Wilson 2016, pp. 355–364. Wilson, Robert A. (2016). "Is the Suzuki group Sz(8) a subgroup of the Monster?" (PDF). Bulletin of the London Mathematical Society. 48 (2): 355–364. doi:10.1112/blms/bdw012. MR 3483073. S2CID 123219818.
Holmes & Wilson 2008, pp. 2653–2667. Holmes, Petra E.; Wilson, Robert A. (2008). "On subgroups of the Monster containing A₅'s". Journal of Algebra. 319 (7): 2653–2667. doi:10.1016/j.jalgebra.2003.11.014. MR 2397402.
Holmes & Wilson 2004, pp. 141–152. Holmes, Petra E.; Wilson, Robert A. (2004). "PSL₂(59) is a subgroup of the Monster". Journal of the London Mathematical Society. Second Series. 69 (1): 141–152. doi:10.1112/S0024610703004915. MR 2025332. S2CID 122913546.
Holmes & Wilson 2002, pp. 435–447. Holmes, Petra E.; Wilson, Robert A. (2002). "A new maximal subgroup of the Monster". Journal of Algebra. 251 (1): 435–447. doi:10.1006/jabr.2001.9037. MR 1900293.
Conway & Norton 1979, pp. 308–339. Conway, John Horton; Norton, Simon P. (1979). "Monstrous Moonshine". Bulletin of the London Mathematical Society. 11 (3): 308–339. doi:10.1112/blms/11.3.308.

handle.net

hdl.handle.net

Griess 1982, pp. 1–102. Griess, Robert L. (1982). "The friendly giant" (PDF). Inventiones Mathematicae. 69 (1): 1–102. Bibcode:1982InMat..69....1G. doi:10.1007/BF01389186. hdl:2027.42/46608. MR 0671653. S2CID 123597150.

harvard.edu

ui.adsabs.harvard.edu

Griess 1982, pp. 1–102. Griess, Robert L. (1982). "The friendly giant" (PDF). Inventiones Mathematicae. 69 (1): 1–102. Bibcode:1982InMat..69....1G. doi:10.1007/BF01389186. hdl:2027.42/46608. MR 0671653. S2CID 123597150.
Conway 1985, pp. 513–540. Conway, John Horton (1985). "A simple construction for the Fischer–Griess monster group". Inventiones Mathematicae. 79 (3): 513–540. Bibcode:1985InMat..79..513C. doi:10.1007/BF01388521. MR 0782233. S2CID 123340529.
Tits 1984, pp. 491–499. Tits, Jacques (1984). "On R. Griess' "friendly giant"". Inventiones Mathematicae. 78 (3): 491–499. Bibcode:1984InMat..78..491T. doi:10.1007/BF01388446. MR 0768989. S2CID 122379975.
Dietrich, Lee & Popiel 2023. Dietrich, Heiko; Lee, Melissa; Popiel, Tomasz (6 December 2023). "The maximal subgroups of the Monster". arXiv:2304.14646 [GR math. GR]. Bibcode:2023arXiv230414646D.

ias.edu

Roberts 2013. Roberts, Siobhan (2013). Curiosities: Pursuing the Monster. Institute for Advanced Study.

jstor.org

Gardner 1980, pp. 20–33. Gardner, Martin (1980). "Mathematical games". Scientific American. Vol. 242, no. 6. pp. 20–33. ISSN 0036-8733. JSTOR 24966339.
Griess, Meierfrankenfeld & Segev 1989, pp. 567–602. Griess, Robert L.; Meierfrankenfeld, Ulrich; Segev, Yoav (1989). "A uniqueness proof for the Monster". Annals of Mathematics. Second Series. 130 (3): 567–602. doi:10.2307/1971455. JSTOR 1971455. MR 1025167.

mmgroup.readthedocs.io

Seysen, Martin. "The mmgroup API reference". Retrieved 31 July 2022.

neverendingbooks.org

le Bruyn 2009. le Bruyn, Lieven (22 April 2009). "The monster graph and McKay's observation". neverendingbooks.

numdam.org

Tits 1983, pp. 105–122. Tits, Jacques (1983). "Le Monstre (d'après R. Griess, B. Fischer et al.)". Astérisque (121): 105–122. MR 0768956. Zbl 0548.20010.

qmul.ac.uk

maths.qmul.ac.uk

Norton & Wilson 2013, pp. 943–962. Norton, Simon P.; Wilson, Robert A. (2013). "A correction to the 41-structure of the Monster, a construction of a new maximal subgroup L2(41) and a new Moonshine phenomenon" (PDF). Journal of the London Mathematical Society. Second Series. 87 (3): 943–962. doi:10.1112/jlms/jds078. S2CID 7075719.

qmro.qmul.ac.uk

Wilson 2016, pp. 355–364. Wilson, Robert A. (2016). "Is the Suzuki group Sz(8) a subgroup of the Monster?" (PDF). Bulletin of the London Mathematical Society. 48 (2): 355–364. doi:10.1112/blms/bdw012. MR 3483073. S2CID 123219818.

semanticscholar.org

api.semanticscholar.org

Griess 1982, pp. 1–102. Griess, Robert L. (1982). "The friendly giant" (PDF). Inventiones Mathematicae. 69 (1): 1–102. Bibcode:1982InMat..69....1G. doi:10.1007/BF01389186. hdl:2027.42/46608. MR 0671653. S2CID 123597150.
Conway 1985, pp. 513–540. Conway, John Horton (1985). "A simple construction for the Fischer–Griess monster group". Inventiones Mathematicae. 79 (3): 513–540. Bibcode:1985InMat..79..513C. doi:10.1007/BF01388521. MR 0782233. S2CID 123340529.
Tits 1984, pp. 491–499. Tits, Jacques (1984). "On R. Griess' "friendly giant"". Inventiones Mathematicae. 78 (3): 491–499. Bibcode:1984InMat..78..491T. doi:10.1007/BF01388446. MR 0768989. S2CID 122379975.
Norton & Wilson 2013, pp. 943–962. Norton, Simon P.; Wilson, Robert A. (2013). "A correction to the 41-structure of the Monster, a construction of a new maximal subgroup L2(41) and a new Moonshine phenomenon" (PDF). Journal of the London Mathematical Society. Second Series. 87 (3): 943–962. doi:10.1112/jlms/jds078. S2CID 7075719.
Wilson 2016, pp. 355–364. Wilson, Robert A. (2016). "Is the Suzuki group Sz(8) a subgroup of the Monster?" (PDF). Bulletin of the London Mathematical Society. 48 (2): 355–364. doi:10.1112/blms/bdw012. MR 3483073. S2CID 123219818.
Holmes & Wilson 2004, pp. 141–152. Holmes, Petra E.; Wilson, Robert A. (2004). "PSL₂(59) is a subgroup of the Monster". Journal of the London Mathematical Society. Second Series. 69 (1): 141–152. doi:10.1112/S0024610703004915. MR 2025332. S2CID 122913546.

theguardian.com

Masters 2019. Masters, Alexander (22 February 2019). "Simon Norton obituary". The Guardian.

umich.edu

deepblue.lib.umich.edu

Griess 1982, pp. 1–102. Griess, Robert L. (1982). "The friendly giant" (PDF). Inventiones Mathematicae. 69 (1): 1–102. Bibcode:1982InMat..69....1G. doi:10.1007/BF01389186. hdl:2027.42/46608. MR 0671653. S2CID 123597150.

web.archive.org

Wilson 2001, pp. 367–374. Wilson, Robert A. (2001). "The Monster is a Hurwitz group". Journal of Group Theory. 4 (4): 367–374. doi:10.1515/jgth.2001.027. MR 1859175. Archived from the original on 2012-03-05.

worldcat.org

search.worldcat.org

Gardner 1980, pp. 20–33. Gardner, Martin (1980). "Mathematical games". Scientific American. Vol. 242, no. 6. pp. 20–33. ISSN 0036-8733. JSTOR 24966339.

youtube.com

Haran 2014, 7:57. Haran, Brady (2014). Life, Death and the Monster (John Conway). Numberphile – via YouTube.

zbmath.org

Tits 1983, pp. 105–122. Tits, Jacques (1983). "Le Monstre (d'après R. Griess, B. Fischer et al.)". Astérisque (121): 105–122. MR 0768956. Zbl 0548.20010.