Work

ON THE NORMALISERS OF ALL NON- p -NILPOTENT SUBGROUPS IN A FINITE GROUP

Year: 2025

Type: article

Abstract: For a prime p , let $\mathcal {N}_p(G)$ denote the intersection of the normalisers of all non- p -nilpotent subgroups of a finite group G and set $\mathcal {N}_p(G)=G$ if G itself is p -nilpotent. We give some properties of $\mathcal {N}_p(G)$ and investigate the influence of $\mathcal {N}_p(G)$ on G .

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s0004972725100683

Authors: XUAN LI, JUNXIN WANG, XIUYUN GUO

Institutions: Shanxi University of Finance and Economics, Shanghai University

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,550

Funder: National Natural Science Foundation of China