On various rank conditions in infinite groups
In the current survey the authors consider some of the main theorems concerning groups satisfying certain rank conditions. They present these theorems starting with recently established results. This order of exposition is different, indeed opposite to chronological, but it allows them to present th...
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| Date: | 2018 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/866 |
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oai:ojs.admjournal.luguniv.edu.ua:article-8662018-03-21T12:35:55Z On various rank conditions in infinite groups Dixon, M. R. Kurdachenko, L. A. Subbotin, I. Ya. rank, Hirsh-Zaitsev rank, special rank 20E25, 20E34, 20F19 In the current survey the authors consider some of the main theorems concerning groups satisfying certain rank conditions. They present these theorems starting with recently established results. This order of exposition is different, indeed opposite to chronological, but it allows them to present the main development of the theory. They illustrate the connections between the different ranks emphasizing, in particular, the connection between the special rank and the Hirsch–Zaitsev rank. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/866 Algebra and Discrete Mathematics; Vol 6, No 4 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/866/396 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-03-21T12:35:55Z |
| collection |
OJS |
| language |
English |
| topic |
rank Hirsh-Zaitsev rank special rank 20E25 20E34 20F19 |
| spellingShingle |
rank Hirsh-Zaitsev rank special rank 20E25 20E34 20F19 Dixon, M. R. Kurdachenko, L. A. Subbotin, I. Ya. On various rank conditions in infinite groups |
| topic_facet |
rank Hirsh-Zaitsev rank special rank 20E25 20E34 20F19 |
| format |
Article |
| author |
Dixon, M. R. Kurdachenko, L. A. Subbotin, I. Ya. |
| 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 |
| description |
In the current survey the authors consider some of the main theorems concerning groups satisfying certain rank conditions. They present these theorems starting with recently established results. This order of exposition is different, indeed opposite to chronological, but it allows them to present the main development of the theory. They illustrate the connections between the different ranks emphasizing, in particular, the connection between the special rank and the Hirsch–Zaitsev rank. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/866 |
| work_keys_str_mv |
AT dixonmr onvariousrankconditionsininfinitegroups AT kurdachenkola onvariousrankconditionsininfinitegroups AT subbotiniya onvariousrankconditionsininfinitegroups |
| first_indexed |
2025-07-17T10:35:50Z |
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2025-07-17T10:35:50Z |
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1837890065465868288 |