The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type

We describe the representation type of elementary abelian p-groups with respect to the modules of constant Jordan type and offer two conjectures (for such modules) in the general case, one of which suggests that any non-wild group is of finite representation type in each dimension.

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Published in:Algebra and Discrete Mathematics
Date:2012
Main Authors: Bondarenko, V.M., Lytvynchuk, I.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2012
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/152226
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type / V.M. Bondarenko, I.V. Lytvynchuk // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 29–36. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Bondarenko, V.M.
Lytvynchuk, I.V.
author_facet Bondarenko, V.M.
Lytvynchuk, I.V.
citation_txt The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type / V.M. Bondarenko, I.V. Lytvynchuk // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 29–36. — Бібліогр.: 10 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description We describe the representation type of elementary abelian p-groups with respect to the modules of constant Jordan type and offer two conjectures (for such modules) in the general case, one of which suggests that any non-wild group is of finite representation type in each dimension.
first_indexed 2025-12-07T16:46:16Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-12-07T16:46:16Z
publishDate 2012
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Bondarenko, V.M.
Lytvynchuk, I.V.
2019-06-09T05:37:04Z
2019-06-09T05:37:04Z
2012
The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type / V.M. Bondarenko, I.V. Lytvynchuk // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 29–36. — Бібліогр.: 10 назв. — англ.
1726-3255
2010 MSC:16G60, 20C20.
https://nasplib.isofts.kiev.ua/handle/123456789/152226
We describe the representation type of elementary abelian p-groups with respect to the modules of constant Jordan type and offer two conjectures (for such modules) in the general case, one of which suggests that any non-wild group is of finite representation type in each dimension.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type
Article
published earlier
spellingShingle The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type
Bondarenko, V.M.
Lytvynchuk, I.V.
title The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type
title_full The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type
title_fullStr The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type
title_full_unstemmed The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type
title_short The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type
title_sort representation type of elementary abelian p-groups with respect to the modules of constant jordan type
url https://nasplib.isofts.kiev.ua/handle/123456789/152226
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