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Licensed Unlicensed Requires Authentication Published by De Gruyter September 1, 2012

Finite p-groups whose non-normal cyclic subgroups have small index in their normalizers

Xiaohong Zhang EMAIL logo and Xiuyun Guo
From the journal Journal of Group Theory

Abstract.

A p-group is called an group if all of its non-normal cyclic subgroups have index no more than pm in their normalizers. In this paper we prove that the order of a non-Dedekind group cannot exceed when . We also completely classify non-Dedekind groups for .

Received: 2011-12-06
Revised: 2012-03-25
Published Online: 2012-09-01
Published in Print: 2012-09-01

© 2012 by Walter de Gruyter Berlin Boston

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