G-algebras, Jacobson radical and almost split sequences.
Galois-Cohen-Lenstra heuristics
Generalizations of morphic group rings.
Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups
We construct a subalgebra of dimension of the group algebra of the Weyl group of type containing its usual Solomon algebra and the one of : is nothing but the Mantaci-Reutenauer algebra but our point of view leads us to a construction of a surjective morphism of algebras . Jöllenbeck’s construction of irreducible characters of the symmetric group by using the coplactic equivalence classes can then be transposed to . In an appendix, P. Baumann and C. Hohlweg present in an explicit and...
Generating the augmentation ideal
Generating wreath products and their augmentation ideals
Generators of large subgroups of the unit group of integral group rings.
G-invariant quadratic forms.
Graded blocks of group algebras with dihedral defect groups
We investigate gradings on tame blocks of group algebras whose defect groups are dihedral. For this subfamily of tame blocks we classify gradings up to graded Morita equivalence, we transfer gradings via derived equivalences, and we check the existence, positivity and tightness of gradings. We classify gradings by computing the group of outer automorphisms that fix the isomorphism classes of simple modules.
Group actions on Cartesian powers with applications to represenation theory.
Group Algebras of Finite Representation Type.
Group algebras of polynomial growth.
Group algebras with centrally metabelian unit groups.
Given a field K of characteristic p > 2 and a finite group G, necessary and sufficient conditions for the unit group U(KG) of the group algebra KG to be centrally metabelian are obtained. It is observed that U(KG) is centrally metabelian if and only if KG is Lie centrally metabelian.
Group extensions and automorphism group rings.
Group rings, Hecke orders, quasi-hereditary orders, cellular orders and deformations.
Group Rings of Circle and Unit Groups.
Group Rings of Finite Representation Type.
Group Rings of Hypercyclic Groups.
Group Rings Whose Units Form an FC-Group.
Group Rings Whose Units Form an FC-Group.