A study on Ivar(G) of a p-group fixing certain subgroups
Year: 2025
Type: article
Abstract: Let $G$ be a group, and $M$ and $N$ be two normal subgroups of $G$. In this paper, we first introduce a subgroup $\mathcal{E}(G)$ and consider the set of all automorphisms of $G$ which centralize $G/M$ and $N$. Then we investigate the conditions in which this set of automorphisms with different $M$ and $N$ is equal or to be equal with $Ivar(G)$.
Authors: Barin, S., Nasrabadi, M. M.
Institution: University of Birjand
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W6959078104
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