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...
Збережено в:
Дата: | 2007 |
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Автори: | , , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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Назва видання: | Algebra and Discrete Mathematics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152380 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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. |
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irk-123456789-1523802019-06-11T01:25:29Z On various rank conditions in infinite groups Dixon, M.R. Kurdachenko, L.A. Subbotin, I.Ya. 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. 2007 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/152380 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 |
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. |
format |
Article |
author |
Dixon, M.R. Kurdachenko, L.A. Subbotin, I.Ya. |
spellingShingle |
Dixon, M.R. Kurdachenko, L.A. Subbotin, I.Ya. On various rank conditions in infinite groups Algebra and Discrete Mathematics |
author_facet |
Dixon, M.R. Kurdachenko, L.A. Subbotin, I.Ya. |
author_sort |
Dixon, M.R. |
title |
On various rank conditions in infinite groups |
title_short |
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_sort |
on various rank conditions in infinite groups |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2007 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/152380 |
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. |
series |
Algebra and Discrete Mathematics |
work_keys_str_mv |
AT dixonmr onvariousrankconditionsininfinitegroups AT kurdachenkola onvariousrankconditionsininfinitegroups AT subbotiniya onvariousrankconditionsininfinitegroups |
first_indexed |
2023-05-20T17:38:12Z |
last_indexed |
2023-05-20T17:38:12Z |
_version_ |
1796153743760162816 |