On filtered multiplicative bases of group algebras II

Autor: Bovdi, Victor

We give an explicit list of all p-groups G with a cyclic subgroup of index p^2, such that the group algebra KG over the field K of characteristic p has a filtered multiplicative K-basis. We also proved that such a K-basis does not exist for the group

Externí odkaz: http://arxiv.org/abs/math/0102101

On the character ring of a finite group

Autor: Cédric Bonnafé

Publikováno v: Publications Mathématiques UFR Sciences Techniques Besançon
Publications Mathématiques UFR Sciences Techniques Besançon, 2006, pp.5-23

Let $G$ be a finite group and let $k$ be a sufficiently large finite field. Let $R(G)$ denote the character ring of $G$ (i.e. the Grothendieck ring of the category of ${\mathbb{C}}G$-modules). We study the structure and the representations of the com

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62ae073b63e418ebb62240016843d198
https://doi.org/10.5802/pmb.a-109

Real representation spheres and the real monomial Burnside ring

Autor: İpek Tuvay, Laurence Barker

Publikováno v: Journal of Algebra

Cataloged from PDF version of article. We introduce a restriction morphism, called the Boltje morphism, from a given ordinary representation functor to a given monomial Burnside functor. In the case of a sufficiently large fibre group, this is Robert

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf153a1ccf15a03407e14b9b435af140
https://hdl.handle.net/11693/21567