On regular subgroup functors of finite groups
A subgroup functor τ\tau is said Φ\Phi -regular if for all primitive groups GG, whenever H∈τ(G)H\in \tau \left(G) is a pp-subgroup and NN is a minimal normal subgroup of GG, then ∣G:NG(H∩N)∣=pd| G:{N}_{G}\left(H\cap N)| ={p}^{d} for some integer dd. In this article, we investigate groups in which s...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2022-12-01
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Series: | Open Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.1515/math-2022-0549 |