March 19, 2024Open Access

A new criterion for p-nilpotency and solvability of finite groups by coprime actions

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Abstract

Abstract Let G and A be finite groups of relative coprime orders and A acts on G via automorphisms. In this paper, we investigate the p-nilpotency and solvability of finite groups in which every maximal A-invariant subgroup of a Sylow p-subgroup of G for some prime p is S-semipermutable. MSC(2000): 20D10, 20D20

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Zhang et al. (Tue,) studied this question.

synapsesocial.com/papers/68e73752b6db6435876b05a9 https://doi.org/https://doi.org/10.21203/rs.3.rs-4108599/v1