ON THE NORMALISERS OF ALL NON- <i>p</i> -NILPOTENT SUBGROUPS IN A FINITE GROUP
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 .
Authors
- Xiuyun Guo (ORCID: https://orcid.org/0000-0003-2288-2983)
- X. H. Li (ORCID: https://orcid.org/0009-0007-9857-000X)
- Jie Wang Jie Wang (ORCID: https://orcid.org/0009-0003-0072-2644)
Institutions
- Shanghai University (CN)
- Shanxi University of Finance and Economics (CN)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2025-11-28
- DOI
- https://doi.org/10.1017/s0004972725100683
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00