Sign in
Back
A result on s-semipermutable subgroups of finite groups and some applications
Journal article   Peer reviewed

A result on s-semipermutable subgroups of finite groups and some applications

Fawaz Aseeri and Julian Kaspczyk
Communications in algebra, Vol.51(5), pp.2176-2182
04/05/2023
DOI: https://doi.org/10.1080/00927872.2022.2153132

Abstract

Mathematics Physical Sciences Science & Technology
Let p be a prime number, G be a p-solvable finite group and P be a Sylow p-subgroup of G. We prove that G is p-supersolvable if NG(P) is p-supersolvable and if there is a subgroup H of P with P' <= H <= Phi(P) such that H is s-semipermutable in G. As applications, we simplify the proofs of some known results and also generalize some known results.

Metrics

4 Record Views

Details