On some topics in the theory of infinite dimensional linear groups
In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional orbits and the maximal and minimal conditions on subgroups of infinite cen...
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Дата: | 2020 |
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Автори: | , , , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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Назва видання: | Algebra and Discrete Mathematics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188498 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | On some topics in the theory of infinite dimensional linear groups / M.R. Dixon, L.A. Kurdachenko, N.N. Semko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 1–32. — Бібліогр.: 53 назв. — англ. |
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irk-123456789-1884982023-03-04T01:26:59Z On some topics in the theory of infinite dimensional linear groups Dixon, M.R. Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional orbits and the maximal and minimal conditions on subgroups of infinite central dimension. 2020 Article On some topics in the theory of infinite dimensional linear groups / M.R. Dixon, L.A. Kurdachenko, N.N. Semko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 1–32. — Бібліогр.: 53 назв. — англ. 1726-3255 DOI:10.12958/adm1516 2010 MSC: Primary 20H25; Secondary 20F29, 20E34. http://dspace.nbuv.gov.ua/handle/123456789/188498 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 this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional orbits and the maximal and minimal conditions on subgroups of infinite central dimension. |
format |
Article |
author |
Dixon, M.R. Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. |
spellingShingle |
Dixon, M.R. Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. On some topics in the theory of infinite dimensional linear groups Algebra and Discrete Mathematics |
author_facet |
Dixon, M.R. Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. |
author_sort |
Dixon, M.R. |
title |
On some topics in the theory of infinite dimensional linear groups |
title_short |
On some topics in the theory of infinite dimensional linear groups |
title_full |
On some topics in the theory of infinite dimensional linear groups |
title_fullStr |
On some topics in the theory of infinite dimensional linear groups |
title_full_unstemmed |
On some topics in the theory of infinite dimensional linear groups |
title_sort |
on some topics in the theory of infinite dimensional linear groups |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2020 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/188498 |
citation_txt |
On some topics in the theory of infinite dimensional linear groups / M.R. Dixon, L.A. Kurdachenko, N.N. Semko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 1–32. — Бібліогр.: 53 назв. — англ. |
series |
Algebra and Discrete Mathematics |
work_keys_str_mv |
AT dixonmr onsometopicsinthetheoryofinfinitedimensionallineargroups AT kurdachenkola onsometopicsinthetheoryofinfinitedimensionallineargroups AT semkonn onsometopicsinthetheoryofinfinitedimensionallineargroups AT subbotiniya onsometopicsinthetheoryofinfinitedimensionallineargroups |
first_indexed |
2023-10-18T23:08:30Z |
last_indexed |
2023-10-18T23:08:30Z |
_version_ |
1796157354487578624 |