Finite group with given c-permutable subgroups
Following [1] we say that subgroups H and T of
 a group G are c-permutable in G if there exists an element x ∈ G 
 such that HTˣ = TˣH. We prove that a finite soluble group G is
 supersoluble if and only if every maximal subgroup of every Sylow
 subgroup of G is c...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2004 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156463 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Finite group with given c-permutable subgroups / Ahmad Alsheik Ahmad // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 9–16. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | Following [1] we say that subgroups H and T of
a group G are c-permutable in G if there exists an element x ∈ G 
such that HTˣ = TˣH. We prove that a finite soluble group G is
supersoluble if and only if every maximal subgroup of every Sylow
subgroup of G is c-permutable with all Hall subgroups of G.
|
|---|---|
| ISSN: | 1726-3255 |