On some topics in the theory of infinite dimensional linear groups

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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Date:2020
Main Authors: Dixon, M. R., Kurdachenko, L. A., Semko, N. N., Subbotin, I. Ya.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2020
Subjects:
finite central dimension
irreducible group
quasi-irreducible group
FC-hypercentral
augmentation dimension
finite orbit
finite dimensional orbit
minimal condition
maximal condition
Primary 20H25; Secondary 20F29
20E34
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1516
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-1516
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spelling admjournalluguniveduua-article-15162020-05-14T18:27:22Z On some topics in the theory of infinite dimensional linear groups Dixon, M. R. Kurdachenko, L. A. Semko, N. N. Subbotin, I. Ya. finite central dimension, irreducible group, quasi-irreducible group, FC-hypercentral, augmentation dimension, finite orbit, finite dimensional orbit, minimal condition, maximal condition Primary 20H25; Secondary 20F29, 20E34 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. Lugansk National Taras Shevchenko University 2020-05-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1516 10.12958/adm1516 Algebra and Discrete Mathematics; Vol 29, No 1 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1516/pdf Copyright (c) 2020 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2020-05-14T18:27:22Z
collection OJS
language English
topic finite central dimension
irreducible group
quasi-irreducible group
FC-hypercentral
augmentation dimension
finite orbit
finite dimensional orbit
minimal condition
maximal condition
Primary 20H25; Secondary 20F29
20E34
spellingShingle finite central dimension
irreducible group
quasi-irreducible group
FC-hypercentral
augmentation dimension
finite orbit
finite dimensional orbit
minimal condition
maximal condition
Primary 20H25; Secondary 20F29
20E34
Dixon, M. R.
Kurdachenko, L. A.
Semko, N. N.
Subbotin, I. Ya.
On some topics in the theory of infinite dimensional linear groups
topic_facet finite central dimension
irreducible group
quasi-irreducible group
FC-hypercentral
augmentation dimension
finite orbit
finite dimensional orbit
minimal condition
maximal condition
Primary 20H25; Secondary 20F29
20E34
format Article
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.
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
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2020
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1516
work_keys_str_mv AT dixonmr onsometopicsinthetheoryofinfinitedimensionallineargroups
AT kurdachenkola onsometopicsinthetheoryofinfinitedimensionallineargroups
AT semkonn onsometopicsinthetheoryofinfinitedimensionallineargroups
AT subbotiniya onsometopicsinthetheoryofinfinitedimensionallineargroups
first_indexed 2025-12-02T15:30:18Z
last_indexed 2025-12-02T15:30:18Z
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