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On groups with the minimal condition for non-invariant decomposable abelian subgroups
The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (md-groups) are studied. Infinite groups with the minimal condition for non-invariant abelian subgroups, infinite groups with the condition of normality for all decomposable abel...
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| Language: | English |
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Інститут прикладної математики і механіки НАН України
2006
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/157375 |
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irk-123456789-1573752019-06-21T01:28:06Z On groups with the minimal condition for non-invariant decomposable abelian subgroups Lyman, F.N. Drushlyak, M.G. The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (md-groups) are studied. Infinite groups with the minimal condition for non-invariant abelian subgroups, infinite groups with the condition of normality for all decomposable abelian subgroups and others belong to the class of md-groups. The complete description of infinite locally finite and locally soluble non-periodic md-groups is given, the connection of the class of md-groups with other classes of groups are investigated. 2006 Article On groups with the minimal condition for non-invariant decomposable abelian subgroups / F.N. Lyman, M.G. Drushlyak // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 4. — С. 57–66. — Бібліогр.: 3 назв. — англ. 1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/157375 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (md-groups) are studied. Infinite groups with the minimal
condition for non-invariant abelian subgroups, infinite groups with
the condition of normality for all decomposable abelian subgroups
and others belong to the class of md-groups. The complete description of infinite locally finite and locally soluble non-periodic
md-groups is given, the connection of the class of md-groups with
other classes of groups are investigated. |
| format |
Article |
| author |
Lyman, F.N. Drushlyak, M.G. |
| spellingShingle |
Lyman, F.N. Drushlyak, M.G. On groups with the minimal condition for non-invariant decomposable abelian subgroups Algebra and Discrete Mathematics |
| author_facet |
Lyman, F.N. Drushlyak, M.G. |
| author_sort |
Lyman, F.N. |
| title |
On groups with the minimal condition for non-invariant decomposable abelian subgroups |
| title_short |
On groups with the minimal condition for non-invariant decomposable abelian subgroups |
| title_full |
On groups with the minimal condition for non-invariant decomposable abelian subgroups |
| title_fullStr |
On groups with the minimal condition for non-invariant decomposable abelian subgroups |
| title_full_unstemmed |
On groups with the minimal condition for non-invariant decomposable abelian subgroups |
| title_sort |
on groups with the minimal condition for non-invariant decomposable abelian subgroups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157375 |
| citation_txt |
On groups with the minimal condition for non-invariant decomposable abelian subgroups / F.N. Lyman, M.G. Drushlyak // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 4. — С. 57–66. — Бібліогр.: 3 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT lymanfn ongroupswiththeminimalconditionfornoninvariantdecomposableabeliansubgroups AT drushlyakmg ongroupswiththeminimalconditionfornoninvariantdecomposableabeliansubgroups |
| first_indexed |
2023-05-20T17:52:03Z |
| last_indexed |
2023-05-20T17:52:03Z |
| _version_ |
1796154275462643712 |