Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

The Thompson-Wielandt theorem


Author: Paul S. Fan
Journal: Proc. Amer. Math. Soc. 97 (1986), 590-592
MSC: Primary 20D05; Secondary 20B05
DOI: https://doi.org/10.1090/S0002-9939-1986-0845970-5
MathSciNet review: 845970
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this short paper we give a completely elementary argument for the Thompson-Wielandt theorem and note its significance for the Goldschmidt-Sims conjecture.


References [Enhancements On Off] (What's this?)

  • [D] A. Delgado, Edge-transitive automorphism groups of graphs, Thesis, Univ. of California, Berkeley, 1981.
  • [F] P. Fan, Amalgams of prime index, J. Algebra 98 (1986). MR 826134 (87d:20056)
  • [G] T. Gagen, Topics in finite groups, Cambridge Univ. Press, Cambridge, 1976. MR 0407127 (53:10910)
  • [Gs1] D. Goldschmidt, Automorphisms of trivalent graphs, Ann. of Math. (2) 111 (1980), 377-406. MR 569075 (82a:05052)
  • [Gs2] -, Towards a generalization of the Sims conjecture, in preparation.
  • [St1] B. Stellmacher, On graphs with edge-transitive automorphism groups, Illinois J. Math. 28 (1984). MR 740616 (87i:20027)
  • [St2] -, Rank 2 groups, Proc. of the Rutgers Group Theory Year 1983-1984, Cambridge Univ. Press, 1984.
  • [Str1] G. Stroth, Graphs with subconstituents containing $ Sz(q)$ and $ {L_2}(r)$, J. Algebra 80 (1983), 186-215. MR 690713 (84e:20015)
  • [Str2] -, Kantentransitive Graphen und Gruppen vom rang 2 (to appear).
  • [T] J. Thompson, Bounds for orders of maximal subgroups, J. Algebra 14 (1970), 135-138. MR 0252500 (40:5720)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20D05, 20B05

Retrieve articles in all journals with MSC: 20D05, 20B05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0845970-5
Article copyright: © Copyright 1986 American Mathematical Society

American Mathematical Society