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dc.contributor.author |
Legchekova, H.V. |
|
dc.date.accessioned |
2019-06-19T17:31:49Z |
|
dc.date.available |
2019-06-19T17:31:49Z |
|
dc.date.issued |
2005 |
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dc.identifier.citation |
Criterions of supersolubility of some finite factorizable groups / H.V. Legchekova // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 46–55. — Бібліогр.: 16 назв. — англ. |
uk_UA |
dc.identifier.issn |
1726-3255 |
|
dc.identifier.other |
2000 Mathematics Subject Classification: 20D20. |
|
dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/157197 |
|
dc.description.abstract |
Let A, B be subgroups of a group G and ∅ 6= X ⊆
G. A subgroup A is said to be X-permutable with B if for some
x ∈ X we have ABx = BxA [1]. We obtain some new criterions
for supersolubility of a finite group G = AB, where A and B are
supersoluble groups. In particular, we prove that a finite group
G = AB is supersoluble provided A, B are supersolube subgroups
of G such that every primary cyclic subgroup of A X-permutes with
every Sylow subgroup of B and if in return every primary cyclic
subgroup of B X-permutes with every Sylow subgroup of A where
X = F(G) is the Fitting subgroup of G. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут прикладної математики і механіки НАН України |
uk_UA |
dc.relation.ispartof |
Algebra and Discrete Mathematics |
|
dc.title |
Criterions of supersolubility of some finite factorizable groups |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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