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 Algebra Discrete Math.: Year: Volume: Issue: Page: Find

 Algebra Discrete Math., 2012, Volume 14, Issue 1, Pages 29–36 (Mi adm82)

RESEARCH ARTICLE

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

Vitalij M. Bondarenkoa, Iryna V. Lytvynchukb

a Institute of Mathematics, Tereshchenkivska 3, 01601 Kyiv, Ukraine
b Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko Univ., Volodymyrska str., 64, 01033 Kyiv, Ukraine

Abstract: 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.

Keywords: elementary abelian groups, matrix representations, representation type, constant Jordan type.

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Bibliographic databases:
MSC: 16G60, 20C20
Revised: 15.08.2012
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Citation: Vitalij M. Bondarenko, Iryna V. Lytvynchuk, “The representation type of elementary abelian $p$-groups with respect to the modules of constant Jordan type”, Algebra Discrete Math., 14:1 (2012), 29–36

Citation in format AMSBIB
\Bibitem{BonLyt12} \by Vitalij~M.~Bondarenko, Iryna~V.~Lytvynchuk \paper The representation type of elementary abelian $p$-groups with respect to the modules of constant Jordan type \jour Algebra Discrete Math. \yr 2012 \vol 14 \issue 1 \pages 29--36 \mathnet{http://mi.mathnet.ru/adm82} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3052319} \zmath{https://zbmath.org/?q=an:1294.20011} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000303375100003}