Finite groups in which every maximal invariant subgroup of order divisible by p is nilpotent

2025/02/10 by Jiangtao Shi, Shi, Jiangtao, Mengjiao Shan +3
Engineering · Mathematics · #20D10 #20D15 #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Limits and Structures in Graph Theory #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2502.06408

openalex publication_date 2025/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A and G be finite groups such that A acts coprimely on G by automorphisms. For any fixed prime divisor p of |G|, we provide a complete characterization of the structure of a group G in which every maximal A-invariant subgroup of order divisible by p is nilpotent.

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