Hostname: page-component-848d4c4894-hfldf Total loading time: 0 Render date: 2024-05-01T01:20:30.734Z Has data issue: false hasContentIssue false
  • English
  • Français

Finite Groups which Contain a Selfcentralizing Subgroup of Order 3

Published online by Cambridge University Press:  22 January 2016

Walter Feit  and
John G. Thompson
Walter Feit
Affiliation:
Cornell University, University of Chicago and Harvard University
John G. Thompson
Affiliation:
Cornell University, University of Chicago and Harvard University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The polyhedral group (l, m, n) is defined in [3] by the presentation

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 21 , December 1962 , pp. 185 - 197
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1962

References

[1] Brauer, R. and Fowler, K. A., On groups of even order, Ann. of Math. vol. 62 (1955), pp. 565–583.CrossRefGoogle Scholar
[2] Burnside, W., Theory of Groups of Finite Order, Cambridge (1911).Google Scholar
[3] Coxeter, H. M. S. and Moser, W. O. J., Generators and Relations for Discrete Groups, Ergebnisse, vol. 14 (1957).Google Scholar
[4] Suzuki, M., A new type of simple groups of finite order, Proc. Nat. Acad. Sci. vol. 46 (1960), pp. 868–870.Google Scholar
[5] Suzuki, M., Finite groups with nilpotent centralizers, Trans. Amer. Math. Soc., vol. 99 (1961), pp. 425–470.CrossRefGoogle Scholar