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- Title
Notes on Solvability and p-Supersolvability of Finite Groups<sup>*</sup>.
- Authors
Zhang, Jia; Qiu, Tingting; Miao, Long; Tang, Juping
- Abstract
A subgroup H of G is called ℳ-supplemented in G if there exists a subgroup B of G such that G = HB and Hi B < G for every maximal subgroup Hi of H. In this paper, we use ℳ-supplemented subgroups to study the structure of finite groups and obtain some new characterization about solvability and p-supersolvability for a fixed prime p. Some results in the literature are corollaries of our theorems.
- Subjects
FINITE groups; MAXIMAL functions; SOLVABLE groups; SYLOW subgroups; FRATTINI subgroups
- Publication
Algebra Colloquium, 2019, Vol 26, Issue 1, p139
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386719000130