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

• Дата: 2018
• Автори: Bondarenko, Vitalij M., Lytvynchuk, Iryna V.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: elementary abelian groups; matrix representations,representation type; constant Jordan type; 16G60; 20C20
• Онлайн доступ: 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.