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Some Groups Whose S3-Subgroups Have Maximal Class
Published online by Cambridge University Press: 22 January 2016
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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.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1971
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