1. On weakly sp-permutable subgroups of finite groups.
- Author
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Asaad, M. and Ramadan, M.
- Subjects
- *
FINITE groups , *SYLOW subgroups , *PRIME numbers - Abstract
Let G be a finite group, H a subgroup of G and p a prime number. We say that H is weakly sp-permutable in G if G has a subnormal subgroup K such that G = HK, H s G ≤ K and | H ∩ K : H s G | is a p ′ -number, where HsG is the subgroup of H generated by all those subgroups of H which are s-permutable in G. In this paper, we investigate the structure of a group G under the assumption that certain subgroups of G are weakly sp-permutable in G. Some recent results are extended and generalized. Communicated by Alexander Olshanskii [ABSTRACT FROM AUTHOR]
- Published
- 2023
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