The normalizer problem for finite groups having normal $ 2 $-complements

Assume that $ H $ is a finite group that has a normal $ 2 $-complement. Under some conditions, it is proven that the normalizer property holds for $ H $. In particular, if there is a nilpotent subgroup of index $ 2 $ in $ H $, then $ H $ has the normalizer property. The result of Li, Sehgal and Parm...

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Bibliographic Details
Main Authors: Jidong Guo, Liang Zhang, Jinke Hai
Format: Article
Language:English
Published: AIMS Press 2024-08-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024225
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