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...

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Бібліографічні деталі
Дата:2007
Автори: Dixon, M.R., Kurdachenko, L.A., Subbotin, I.Ya.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2007
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
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first_indexed 2023-05-20T17:38:12Z
last_indexed 2023-05-20T17:38:12Z
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