Invariant self-centralizing subgroups and structure of finite groups
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Published:2023-06-15
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Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Author:
Shao Changguo1,
Jiang Qinhui1
Affiliation:
1. College of Science, Nanjing University of Posts, and Telecommunications, 210023 Nanjing, P. R. China
Abstract
Let [Formula: see text] and [Formula: see text] be finite groups of coprime orders and assume that [Formula: see text] acts on [Formula: see text] by automorphisms. We investigate groups [Formula: see text] in which each non-central [Formula: see text]-invariant subgroup is self-centralizing. Moreover, we describe the structure of groups [Formula: see text] in which every [Formula: see text]-invariant self-centralizing subgroup is either subnormal or a TI-subgroup of [Formula: see text].
Funder
National Natural Science Foundation of China
Natural Science Research Start-up Foundation of Recruiting Talents of Nanjing University of Posts and Telecommunications
Nature Science Fund of Shandong Province
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory