On various rank conditions in infinite groups
In the current survey the authors consider some ofthe main theorems concerning groups satisfying certain rank con-ditions. They present these theorems starting with recently estab-lished results. This order of exposition is different, indeed oppositeto chronological, but it allows them to present th...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2007 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2007
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152380 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On various rank conditions in infinite groups / M.R. Dixon, L.A. Kurdachenko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 23–43. — Бібліогр.: 44 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862608009193062400 |
|---|---|
| author | Dixon, M.R. Kurdachenko, L.A. Subbotin, I.Ya. |
| author_facet | Dixon, M.R. Kurdachenko, L.A. Subbotin, I.Ya. |
| citation_txt | On various rank conditions in infinite groups / M.R. Dixon, L.A. Kurdachenko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 23–43. — Бібліогр.: 44 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In the current survey the authors consider some ofthe main theorems concerning groups satisfying certain rank con-ditions. They present these theorems starting with recently estab-lished results. This order of exposition is different, indeed oppositeto chronological, but it allows them to present the main develop-ment of the theory. They illustrate the connections betweenthedifferent ranks emphasizing, in particular, the connectionbetweenthe special rank and the Hirsch–Zaitsev rank.
|
| first_indexed | 2025-11-28T16:04:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152380 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-28T16:04:28Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Dixon, M.R. Kurdachenko, L.A. Subbotin, I.Ya. 2019-06-10T17:15:59Z 2019-06-10T17:15:59Z 2007 On various rank conditions in infinite groups / M.R. Dixon, L.A. Kurdachenko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 23–43. — Бібліогр.: 44 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20E25, 20E34, 20F19 https://nasplib.isofts.kiev.ua/handle/123456789/152380 In the current survey the authors consider some ofthe main theorems concerning groups satisfying certain rank con-ditions. They present these theorems starting with recently estab-lished results. This order of exposition is different, indeed oppositeto chronological, but it allows them to present the main develop-ment of the theory. They illustrate the connections betweenthedifferent ranks emphasizing, in particular, the connectionbetweenthe special rank and the Hirsch–Zaitsev rank. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On various rank conditions in infinite groups Article published earlier |
| spellingShingle | On various rank conditions in infinite groups Dixon, M.R. Kurdachenko, L.A. Subbotin, I.Ya. |
| title | On various rank conditions in infinite groups |
| title_full | On various rank conditions in infinite groups |
| title_fullStr | On various rank conditions in infinite groups |
| title_full_unstemmed | On various rank conditions in infinite groups |
| title_short | On various rank conditions in infinite groups |
| title_sort | on various rank conditions in infinite groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152380 |
| work_keys_str_mv | AT dixonmr onvariousrankconditionsininfinitegroups AT kurdachenkola onvariousrankconditionsininfinitegroups AT subbotiniya onvariousrankconditionsininfinitegroups |