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Algebra and Discrete Mathematics, 2012, Volume 14, Issue 1, Pages 29–36
(Mi adm82)
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This article is cited in 2 scientific papers (total in 2 papers)
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.
Received: 15.12.2011 Revised: 15.08.2012
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
Linking options:
https://www.mathnet.ru/eng/adm82 https://www.mathnet.ru/eng/adm/v14/i1/p29
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Abstract page: | 249 | Full-text PDF : | 106 | References: | 50 | First page: | 1 |
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