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
Автори: Dixon, M.R., Kurdachenko, L.A., Semko, N.N., Subbotin, I.Ya.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2020
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
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AT kurdachenkola onsometopicsinthetheoryofinfinitedimensionallineargroups
AT semkonn onsometopicsinthetheoryofinfinitedimensionallineargroups
AT subbotiniya onsometopicsinthetheoryofinfinitedimensionallineargroups
first_indexed 2023-10-18T23:08:30Z
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