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