Finite groups with some invariant semi cover-avoiding subgroups
Abstract
A subgroup H of a finite group G is said to be a semi cover-avoiding subgroup of G if there is a normal series of G such that H covers or avoids every normal factor of the series. In this paper, we establish new criteria for the solvability and p-nilpotency of finite groups by analyzing semi cover-avoiding subgroups in the setting of coprime actions. Our results extend and generalize several recent results in the literature.
Fields of Study & Subjects
Finite Group Theory Research
Advanced Topics in Algebra
Mathematics and Applications
Publication details
- Journal / source
- Communications in Algebra
- Pages
- 1–9
- Publication date
- 6 March 2026
- Language
- EN