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Finite groups of even orders all of whose fourth maximal subgroups are weakly s2-permutable.
- Source :
-
Acta Mathematica Hungarica . 6/1/2022, Vol. 167 Issue 1, p278-286. 9p. - Publication Year :
- 2022
-
Abstract
- Let p be a prime number. A positive integer m is said to be a p ′ -number provided p ∤ m . Let G be a finite group, and let H be a subgroup of G. We say that H is weakly s p -permutable in G if G has a subnormal subgroup K such that G = HK, H sG ≤ K and | H ∩ K : H sG | is a p ′ -number, where H sG is the subgroup of H generated by all those subgroups of H which are s-permutable in G. We study the structure of a finite group G of even order all of whose fourth maximal subgroups are weakly s 2 -permutable in G. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02365294
- Volume :
- 167
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Hungarica
- Publication Type :
- Academic Journal
- Accession number :
- 159196606
- Full Text :
- https://doi.org/10.1007/s10474-022-01228-z