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 d...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2006 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157375 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862557694001414144 |
|---|---|
| author | Lyman, F.N. Drushlyak, M.G. |
| author_facet | Lyman, F.N. Drushlyak, M.G. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-11-25T22:45:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157375 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T22:45:10Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Lyman, F.N. Drushlyak, M.G. 2019-06-20T03:08:20Z 2019-06-20T03:08:20Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/157375 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On groups with the minimal condition for non-invariant decomposable abelian subgroups Article published earlier |
| spellingShingle | On groups with the minimal condition for non-invariant decomposable abelian subgroups Lyman, F.N. Drushlyak, M.G. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157375 |
| work_keys_str_mv | AT lymanfn ongroupswiththeminimalconditionfornoninvariantdecomposableabeliansubgroups AT drushlyakmg ongroupswiththeminimalconditionfornoninvariantdecomposableabeliansubgroups |