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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Опубліковано в: :Algebra and Discrete Mathematics
Дата:2020
Автори: Dixon, M.R., Kurdachenko, L.A., Semko, N.N., Subbotin, I.Ya.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут прикладної математики і механіки НАН України 2020
Онлайн доступ:https://nasplib.isofts.kiev.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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author Dixon, M.R.
Kurdachenko, L.A.
Semko, N.N.
Subbotin, I.Ya.
author_facet Dixon, M.R.
Kurdachenko, L.A.
Semko, N.N.
Subbotin, I.Ya.
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.
collection DSpace DC
container_title Algebra and Discrete Mathematics
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.
first_indexed 2025-12-07T20:05:51Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-12-07T20:05:51Z
publishDate 2020
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Dixon, M.R.
Kurdachenko, L.A.
Semko, N.N.
Subbotin, I.Ya.
2023-03-03T15:41:25Z
2023-03-03T15:41:25Z
2020
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.
https://nasplib.isofts.kiev.ua/handle/123456789/188498
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
On some topics in the theory of infinite dimensional linear groups
Article
published earlier
spellingShingle On some topics in the theory of infinite dimensional linear groups
Dixon, M.R.
Kurdachenko, L.A.
Semko, N.N.
Subbotin, I.Ya.
title 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_short On some topics in the theory of infinite dimensional linear groups
title_sort on some topics in the theory of infinite dimensional linear groups
url https://nasplib.isofts.kiev.ua/handle/123456789/188498
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AT kurdachenkola onsometopicsinthetheoryofinfinitedimensionallineargroups
AT semkonn onsometopicsinthetheoryofinfinitedimensionallineargroups
AT subbotiniya onsometopicsinthetheoryofinfinitedimensionallineargroups