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

Vitalij M. Bondarenko, Iryna V. Lytvynchuk

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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