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

• Datum: 2018
• Hauptverfasser: Bondarenko, Vitalij M., Lytvynchuk, Iryna V.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: elementary abelian groups; matrix representations,representation type; constant Jordan type; 16G60; 20C20
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/709
• Назва журналу: Algebra and Discrete Mathematics

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.