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Isomorphic Subgroups of Finite p-groups Revisited

Published online by Cambridge University Press:  20 November 2018

William Specht
William Specht*
Affiliation:
Roosevelt University, Chicago, Illinois
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Several papers of George Glauberman have appeared which analyze the structure of a finite p-group which contains two isomorphic maximal subgroups. The usual setting for an application of these results is a finite group, a p-subgroup, and an isomorphism of this p-group induced by conjugation. In this paper we prove a stronger version of Glauberman's Theorem 8.1 [1].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 3 , June 1974 , pp. 576 - 579
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Glauberman, G., Isomorphic subgroups of finite p-groups. J, Can. J. Math. 20 (1971), 983–1022.Google Scholar
2. Glauberman, G., Isomorphic subgroups of finite p-groups. II, Can. J. Math. 20 (1971), 1023–1039.Google Scholar
3. Gorenstein, D., Finite groups (Harper and Row, New York, 1968).Google Scholar
4. Specht, William, The quadratic pairs theorem in local analysis, Ph.D. thesis, University of Chicago, 1972.Google Scholar