Word problem for groups (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Word problem for groups" in English language version.

refsWebsite

Global rank English rank

13doi.org

2^nd place

8ams.org

451^st place

277^th place

5worldcat.org

5^th place

4uni-goettingen.de

2,594^th place

2,546^th place

4semanticscholar.org

11^th place

8^th place

2zbmath.org

1,923^rd place

1,068^th place

2books.google.com

3^rd place

2nih.gov

4^th place

1handle.net

102^nd place

76^th place

1pnas.org

1,293^rd place

3,794^th place

1harvard.edu

18^th place

17^th place

1usf.edu

3,436^th place

2,114^th place

ams.org

mathscinet.ams.org

Dehn 1911. Dehn, Max (1911), "Über unendliche diskontinuierliche Gruppen", Mathematische Annalen, 71 (1): 116–144, doi:10.1007/BF01456932, ISSN 0025-5831, MR 1511645, S2CID 123478582
Dehn 1912. Dehn, Max (1912), "Transformation der Kurven auf zweiseitigen Flächen", Mathematische Annalen, 72 (3): 413–421, doi:10.1007/BF01456725, ISSN 0025-5831, MR 1511705, S2CID 122988176
Collins & Zieschang 1993, p. 149. Collins, D. J.; Zieschang, H. (1993), "Combinatorial group theory and fundamental groups", Algebra VIII: Combinatorial Group Theory, Applications to Geometry, Encyclopaedia of Mathematical Sciences, vol. 58, Berlin: Springer, pp. 1–166, doi:10.1007/978-3-642-58013-0, ISBN 3-540-54700-2, MR 1265270
Collins & Zieschang 1993, Cor. 7.2.6. Collins, D. J.; Zieschang, H. (1993), "Combinatorial group theory and fundamental groups", Algebra VIII: Combinatorial Group Theory, Applications to Geometry, Encyclopaedia of Mathematical Sciences, vol. 58, Berlin: Springer, pp. 1–166, doi:10.1007/978-3-642-58013-0, ISBN 3-540-54700-2, MR 1265270
Collins 1969. Collins, Donald J. (1969), "Word and conjugacy problems in groups with only a few defining relations", Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 15 (20–22): 305–324, doi:10.1002/malq.19690152001, MR 0263903
Borisov 1969. Borisov, V. V. (1969), "Simple examples of groups with unsolvable word problem", Akademiya Nauk SSSR. Matematicheskie Zametki, 6: 521–532, ISSN 0025-567X, MR 0260851
Collins 1972. Collins, Donald J. (1972), "On a group embedding theorem of V. V. Borisov", Bulletin of the London Mathematical Society, 4 (2): 145–147, doi:10.1112/blms/4.2.145, ISSN 0024-6093, MR 0314998
Collins 1986. Collins, Donald J. (1986), "A simple presentation of a group with unsolvable word problem", Illinois Journal of Mathematics, 30 (2): 230–234, doi:10.1215/ijm/1256044631, ISSN 0019-2082, MR 0840121

books.google.com

Knuth, D.; Bendix, P. (2014) [1970], "Simple word problems in universal algebras", in Leech, J. (ed.), Computational Problems in Abstract Algebra: Proceedings of a Conference Held at Oxford Under the Auspices of the Science Research Council Atlas Computer Laboratory, 29th August to 2nd September 1967, Springer, pp. 263–297, ISBN 9781483159423
Lyndon, Roger C.; Schupp, Paul E (2001), Combinatorial Group Theory, Springer, pp. 1–60, ISBN 9783540411581

doi.org

Dehn 1911. Dehn, Max (1911), "Über unendliche diskontinuierliche Gruppen", Mathematische Annalen, 71 (1): 116–144, doi:10.1007/BF01456932, ISSN 0025-5831, MR 1511645, S2CID 123478582
Dehn 1912. Dehn, Max (1912), "Transformation der Kurven auf zweiseitigen Flächen", Mathematische Annalen, 72 (3): 413–421, doi:10.1007/BF01456725, ISSN 0025-5831, MR 1511705, S2CID 122988176
Greendlinger, Martin (June 1959), "Dehn's algorithm for the word problem", Communications on Pure and Applied Mathematics, 13 (1): 67–83, doi:10.1002/cpa.3160130108.
Lyndon, Roger C. (September 1966), "On Dehn's algorithm", Mathematische Annalen, 166 (3): 208–228, doi:10.1007/BF01361168, hdl:2027.42/46211, S2CID 36469569.
Schupp, Paul E. (June 1968), "On Dehn's algorithm and the conjugacy problem", Mathematische Annalen, 178 (2): 119–130, doi:10.1007/BF01350654, S2CID 120429853.
Boone, William W. (1958), "The word problem" (PDF), Proceedings of the National Academy of Sciences, 44 (10): 1061–1065, Bibcode:1958PNAS...44.1061B, doi:10.1073/pnas.44.10.1061, PMC 528693, PMID 16590307, Zbl 0086.24701
Todd, J.; Coxeter, H.S.M. (1936), "A practical method for enumerating cosets of a finite abstract group", Proceedings of the Edinburgh Mathematical Society, 5 (1): 26–34, doi:10.1017/S0013091500008221
Simmons, H. (1973), "The word problem for absolute presentations", J. London Math. Soc., s2-6 (2): 275–280, doi:10.1112/jlms/s2-6.2.275
Collins & Zieschang 1993, p. 149. Collins, D. J.; Zieschang, H. (1993), "Combinatorial group theory and fundamental groups", Algebra VIII: Combinatorial Group Theory, Applications to Geometry, Encyclopaedia of Mathematical Sciences, vol. 58, Berlin: Springer, pp. 1–166, doi:10.1007/978-3-642-58013-0, ISBN 3-540-54700-2, MR 1265270
Collins & Zieschang 1993, Cor. 7.2.6. Collins, D. J.; Zieschang, H. (1993), "Combinatorial group theory and fundamental groups", Algebra VIII: Combinatorial Group Theory, Applications to Geometry, Encyclopaedia of Mathematical Sciences, vol. 58, Berlin: Springer, pp. 1–166, doi:10.1007/978-3-642-58013-0, ISBN 3-540-54700-2, MR 1265270
Collins 1969. Collins, Donald J. (1969), "Word and conjugacy problems in groups with only a few defining relations", Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 15 (20–22): 305–324, doi:10.1002/malq.19690152001, MR 0263903
Collins 1972. Collins, Donald J. (1972), "On a group embedding theorem of V. V. Borisov", Bulletin of the London Mathematical Society, 4 (2): 145–147, doi:10.1112/blms/4.2.145, ISSN 0024-6093, MR 0314998
Collins 1986. Collins, Donald J. (1986), "A simple presentation of a group with unsolvable word problem", Illinois Journal of Mathematics, 30 (2): 230–234, doi:10.1215/ijm/1256044631, ISSN 0019-2082, MR 0840121

handle.net

hdl.handle.net

Lyndon, Roger C. (September 1966), "On Dehn's algorithm", Mathematische Annalen, 166 (3): 208–228, doi:10.1007/BF01361168, hdl:2027.42/46211, S2CID 36469569.

harvard.edu

ui.adsabs.harvard.edu

Boone, William W. (1958), "The word problem" (PDF), Proceedings of the National Academy of Sciences, 44 (10): 1061–1065, Bibcode:1958PNAS...44.1061B, doi:10.1073/pnas.44.10.1061, PMC 528693, PMID 16590307, Zbl 0086.24701

nih.gov

ncbi.nlm.nih.gov

Boone, William W. (1958), "The word problem" (PDF), Proceedings of the National Academy of Sciences, 44 (10): 1061–1065, Bibcode:1958PNAS...44.1061B, doi:10.1073/pnas.44.10.1061, PMC 528693, PMID 16590307, Zbl 0086.24701

pubmed.ncbi.nlm.nih.gov

Boone, William W. (1958), "The word problem" (PDF), Proceedings of the National Academy of Sciences, 44 (10): 1061–1065, Bibcode:1958PNAS...44.1061B, doi:10.1073/pnas.44.10.1061, PMC 528693, PMID 16590307, Zbl 0086.24701

pnas.org

Boone, William W. (1958), "The word problem" (PDF), Proceedings of the National Academy of Sciences, 44 (10): 1061–1065, Bibcode:1958PNAS...44.1061B, doi:10.1073/pnas.44.10.1061, PMC 528693, PMID 16590307, Zbl 0086.24701

semanticscholar.org

api.semanticscholar.org

Dehn 1911. Dehn, Max (1911), "Über unendliche diskontinuierliche Gruppen", Mathematische Annalen, 71 (1): 116–144, doi:10.1007/BF01456932, ISSN 0025-5831, MR 1511645, S2CID 123478582
Dehn 1912. Dehn, Max (1912), "Transformation der Kurven auf zweiseitigen Flächen", Mathematische Annalen, 72 (3): 413–421, doi:10.1007/BF01456725, ISSN 0025-5831, MR 1511705, S2CID 122988176
Lyndon, Roger C. (September 1966), "On Dehn's algorithm", Mathematische Annalen, 166 (3): 208–228, doi:10.1007/BF01361168, hdl:2027.42/46211, S2CID 36469569.
Schupp, Paul E. (June 1968), "On Dehn's algorithm and the conjugacy problem", Mathematische Annalen, 178 (2): 119–130, doi:10.1007/BF01350654, S2CID 120429853.

uni-goettingen.de

gdz.sub.uni-goettingen.de

Dehn 1911. Dehn, Max (1911), "Über unendliche diskontinuierliche Gruppen", Mathematische Annalen, 71 (1): 116–144, doi:10.1007/BF01456932, ISSN 0025-5831, MR 1511645, S2CID 123478582
Dehn 1912. Dehn, Max (1912), "Transformation der Kurven auf zweiseitigen Flächen", Mathematische Annalen, 72 (3): 413–421, doi:10.1007/BF01456725, ISSN 0025-5831, MR 1511705, S2CID 122988176
Lyndon, Roger C. (September 1966), "On Dehn's algorithm", Mathematische Annalen, 166 (3): 208–228, doi:10.1007/BF01361168, hdl:2027.42/46211, S2CID 36469569.
Schupp, Paul E. (June 1968), "On Dehn's algorithm and the conjugacy problem", Mathematische Annalen, 178 (2): 119–130, doi:10.1007/BF01350654, S2CID 120429853.

usf.edu

shell.cas.usf.edu

We use the corrected version from John Pedersen's A Catalogue of Algebraic Systems

worldcat.org

search.worldcat.org

Dehn 1911. Dehn, Max (1911), "Über unendliche diskontinuierliche Gruppen", Mathematische Annalen, 71 (1): 116–144, doi:10.1007/BF01456932, ISSN 0025-5831, MR 1511645, S2CID 123478582
Dehn 1912. Dehn, Max (1912), "Transformation der Kurven auf zweiseitigen Flächen", Mathematische Annalen, 72 (3): 413–421, doi:10.1007/BF01456725, ISSN 0025-5831, MR 1511705, S2CID 122988176
Borisov 1969. Borisov, V. V. (1969), "Simple examples of groups with unsolvable word problem", Akademiya Nauk SSSR. Matematicheskie Zametki, 6: 521–532, ISSN 0025-567X, MR 0260851
Collins 1972. Collins, Donald J. (1972), "On a group embedding theorem of V. V. Borisov", Bulletin of the London Mathematical Society, 4 (2): 145–147, doi:10.1112/blms/4.2.145, ISSN 0024-6093, MR 0314998
Collins 1986. Collins, Donald J. (1986), "A simple presentation of a group with unsolvable word problem", Illinois Journal of Mathematics, 30 (2): 230–234, doi:10.1215/ijm/1256044631, ISSN 0019-2082, MR 0840121

zbmath.org

Novikov, P. S. (1955), "On the algorithmic unsolvability of the word problem in group theory", Proceedings of the Steklov Institute of Mathematics (in Russian), 44: 1–143, Zbl 0068.01301
Boone, William W. (1958), "The word problem" (PDF), Proceedings of the National Academy of Sciences, 44 (10): 1061–1065, Bibcode:1958PNAS...44.1061B, doi:10.1073/pnas.44.10.1061, PMC 528693, PMID 16590307, Zbl 0086.24701