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- Title
New criteria for p-nilpotency of finite groups.
- Authors
Xinjian Zhang; Long Miao; Jia Zhang
- Abstract
A subgroup H of a group G is said to be weakly s-supplementedly embedded in G if there exists a subgroup T of G such that G = HT and H ∩ T ≤ Hse ≤ H, where Hse is an S-permutably embedded subgroup of G. In this paper, we investigate the structure of G under the assumption that some subgroups of prime-power order are weakly S-supplementedly embedded in G, and some new criteria for p-nilpotency are obtained.
- Subjects
SYLOW subgroups; ABELIAN groups; NILPOTENT groups; SOLVABLE groups; GEOMETRIC vertices
- Publication
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2018, Vol 25, Issue 4, p481
- ISSN
1370-1444
- Publication type
Article
- DOI
10.36045/bbms/1546570904