The representation type of elementary abelian $p$-groups with respect to the modules of constant Jordan type
Algebra and discrete mathematics, Tome 14 (2012) no. 1, pp. 29-36
Voir la notice de l'article provenant de la source Math-Net.Ru
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
Mots-clés : constant Jordan type.
Mots-clés : constant Jordan type.
@article{ADM_2012_14_1_a3,
author = {Vitalij M. Bondarenko and Iryna V. Lytvynchuk},
title = {The representation type of elementary abelian $p$-groups with respect to the modules of constant {Jordan} type},
journal = {Algebra and discrete mathematics},
pages = {29--36},
publisher = {mathdoc},
volume = {14},
number = {1},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2012_14_1_a3/}
}
TY - JOUR AU - Vitalij M. Bondarenko AU - Iryna V. Lytvynchuk TI - The representation type of elementary abelian $p$-groups with respect to the modules of constant Jordan type JO - Algebra and discrete mathematics PY - 2012 SP - 29 EP - 36 VL - 14 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ADM_2012_14_1_a3/ LA - en ID - ADM_2012_14_1_a3 ER -
%0 Journal Article %A Vitalij M. Bondarenko %A Iryna V. Lytvynchuk %T The representation type of elementary abelian $p$-groups with respect to the modules of constant Jordan type %J Algebra and discrete mathematics %D 2012 %P 29-36 %V 14 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ADM_2012_14_1_a3/ %G en %F ADM_2012_14_1_a3
Vitalij M. Bondarenko; Iryna V. Lytvynchuk. The representation type of elementary abelian $p$-groups with respect to the modules of constant Jordan type. Algebra and discrete mathematics, Tome 14 (2012) no. 1, pp. 29-36. http://geodesic.mathdoc.fr/item/ADM_2012_14_1_a3/