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On strongly closed and Hall s-semiembedded subgroups of finite groups.
- Source :
-
Journal of Algebra & Its Applications . Sep2023, Vol. 22 Issue 9, p1-9. 9p. - Publication Year :
- 2023
-
Abstract
- Let H ≤ K be subgroups of a finite group G , then H is called strongly closed in K with respect to G if H g ∩ K ≤ H for every g ∈ G , and in particular, H is simply called strongly closed in G if H is strongly closed in N G (H) with respect to G. Let H be a subgroup of a finite group G , then H is called Hall s -semiembedded in G if H is a Hall subgroup of 〈 H , P 〉 for every P ∈ Syl p (G) , where (| H | , p) = 1. In this paper, we obtain some criteria for p -nilpotency of a finite group and extend some known results concerning strongly closed and Hall s -semiembedded subgroups. In particular, we generalize some main results of Guo and Li [Hall s -semiembedded subgroups and p -nilpotency of finite groups, Southeast Asian Bull. Math. 42(3) (2018) 367–374] and Kong [New characterizations of p -nilpotency of finite groups, J. Algebra Appl. 20(11) (2021) Article ID: 2150215, 6 pp.]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE groups
*SUBGROUP growth
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 22
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 164930285
- Full Text :
- https://doi.org/10.1142/S0219498823502018