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Turkish Journal of Mathematics

Authors

XIANGGUI ZHONG

DOI

10.3906/mat-1305-12

Abstract

Let G be a finite group and let H be a subgroup of G. H is said to be an NR^*-subgroup of G if there exists a normal subgroup T of G such that G = HT and if whenever K \lhd H and g \in G, then K^g \cap H \cap T\leq K. A number of new characterizations of a group G are given, under the assumption that all Sylow subgroups of certain subgroups of G are NR^*-subgroups.

First Page

240

Last Page

245

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Mathematics Commons

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