Vitalij M. Bondarenko, Iryna V. Lytvynchuk, “The representation type of elementary abelian <nobr>$p$</nobr>-groups with respect to the modules of constant Jordan type”, Algebra Discrete Math., 2012, Volume 14, Issue 1,Pages <nobr>29

This article is cited in 2 papers

RESEARCH ARTICLE

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

Vitalij M. Bondarenko^a, Iryna V. Lytvynchuk^b

^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.

MSC: 16G60, 20C20

Received: 15.12.2011
Revised: 15.08.2012

Language: English