The influence of TI-property and subnormality of self-centralizing subgroups of non-prime-power order on the structure of finite groups

Research Article

The influence of TI-property and subnormality of self-centralizing subgroups of non-prime-power order on the structure of finite groups

Published in: Quaestiones Mathematicae
Volume 46 , issue 12 , 2023 , pages: 2605–2610
DOI: 10.2989/16073606.2023.2174912
Author(s): Jiangtao Shi Yantai University, P.R. China , Na Li Beijing Jiaotong University, P.R. China
Keywords: 20D10 , Subgroup of non-prime-power order , self-centralizing , TI-subgroup , subnormal subgroup , Frobenius group
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Abstract

We obtain a complete classification of the structure of finite groups in which every self-centralizing subgroup of non-prime-power order is a TI-subgroup or a subnormal subgroup.
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