|
Algebra and Discrete Mathematics, 2012, том 14, выпуск 1, страницы 29–36
(Mi adm82)
|
|
|
|
Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
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
Аннотация:
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.
Ключевые слова:
elementary abelian groups, matrix representations, representation type, constant Jordan type.
Поступила в редакцию: 15.12.2011 Исправленный вариант: 15.08.2012
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm82 https://www.mathnet.ru/rus/adm/v14/i1/p29
|
|