Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$

We determine in what cases the problem of description of nonequivalent matrix representations of a finite $p$-group over a commutative local ring of characteristic $p^s$ is wild.

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Datum:2002
Hauptverfasser: Gudivok, P. M., Pogorilyak, E. Y., Гудивок, П. М., Погориляк, Е. Я.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4114
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Gudivok, P. M.
Pogorilyak, E. Y.
Гудивок, П. М.
Погориляк, Е. Я.
Гудивок, П. М.
Погориляк, Е. Я.
author_facet Gudivok, P. M.
Pogorilyak, E. Y.
Гудивок, П. М.
Погориляк, Е. Я.
Гудивок, П. М.
Погориляк, Е. Я.
author_sort Gudivok, P. M.
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datestamp_date 2020-03-18T20:22:38Z
description We determine in what cases the problem of description of nonequivalent matrix representations of a finite $p$-group over a commutative local ring of characteristic $p^s$ is wild.
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spelling umjimathkievua-article-41142020-03-18T20:22:38Z Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$ Матричные представления конечных $p$-групп над коммутативными локальными кольцами характеристики $p^s$ Gudivok, P. M. Pogorilyak, E. Y. Гудивок, П. М. Погориляк, Е. Я. Гудивок, П. М. Погориляк, Е. Я. We determine in what cases the problem of description of nonequivalent matrix representations of a finite $p$-group over a commutative local ring of characteristic $p^s$ is wild. Вияснено, коли задача опису нееквівалентних матричних зображень скінченної $p$-групи над комутативним локальним кільцем характеристики $p^s$ є дикою. Institute of Mathematics, NAS of Ukraine 2002-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4114 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 6 (2002); 764-770 Український математичний журнал; Том 54 № 6 (2002); 764-770 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4114/4937 https://umj.imath.kiev.ua/index.php/umj/article/view/4114/4938 Copyright (c) 2002 Gudivok P. M.; Pogorilyak E. Y.
spellingShingle Gudivok, P. M.
Pogorilyak, E. Y.
Гудивок, П. М.
Погориляк, Е. Я.
Гудивок, П. М.
Погориляк, Е. Я.
Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$
title Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$
title_alt Матричные представления конечных $p$-групп над коммутативными локальными кольцами характеристики $p^s$
title_full Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$
title_fullStr Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$
title_full_unstemmed Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$
title_short Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$
title_sort matrix representations of finite $p$-groups over commutative local rings of characteristic $p^s$
url https://umj.imath.kiev.ua/index.php/umj/article/view/4114
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