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Some Groups Whose S3-Subgroups Have Maximal Class

Published online by Cambridge University Press:  22 January 2016

Ed Cline
Ed Cline*
Affiliation:
University of Minnesota
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In this paper, we investigate several classes of groups, among which the most general is defined as follows:

Definition 1.1. A finite group G is a SR-group if it contains a subgroup P1 of order 3 satisfying:

  • (a) A/S3-subgroup P2 of NGP1 is elementary of order 9;

  • (b) NG(P2)/P2 acts semi-regularly by conjugation on the conjugates of P1 contained in P2.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 41 , February 1971 , pp. 55 - 67
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1971

References

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