A Frobenius Theorem for Blocks.
A local method in group cohomology.
A note on the subclass algebra.
A Remark on Blocks with Dihedral Defect Groups in Solvable Groups.
A semigroup approach to wreath-product extensions of Solomon's descent algebras.
Abelian p-adic Group Rings.
Algebras and Quaternion Defect Groups. I.
Algebras and Quaternion Defect Groups. II.
An algorithm for the decomposition of ideals of the group ring of a symmetric group.
An analogue of the Duistermaat-van der Kallen theorem for group algebras
Let G be a group, R an integral domain, and V G the R-subspace of the group algebra R[G] consisting of all the elements of R[G] whose coefficient of the identity element 1G of G is equal to zero. Motivated by the Mathieu conjecture [Mathieu O., Some conjectures about invariant theory and their applications, In: Algèbre non Commutative, Groupes Quantiques et Invariants, Reims, June 26–30, 1995, Sémin. Congr., 2, Société Mathématique de France, Paris, 1997, 263–279], the Duistermaat-van der Kallen...
Another counterexample to a conjecture of Zassenhaus.
Augmentation quotients for Burnside rings of generalized dihedral groups
Let be a finite abelian group of odd order, be its generalized dihedral group, i.e., the semidirect product of acting on by inverting elements, where is the cyclic group of order two. Let be the Burnside ring of , be the augmentation ideal of . Denote by and the th power of and the th consecutive quotient group , respectively. This paper provides an explicit -basis for and determines the isomorphism class of for each positive integer .
Binary Polyhedral Groups and Euclidean Diagrams.
Blocks, Vertices and Normal Subgroups.
Brauer relations in finite groups
If is a non-cyclic finite group, non-isomorphic -sets may give rise to isomorphic permutation representations . Equivalently, the map from the Burnside ring to the rational representation ring of has a kernel. Its elements are called Brauer relations, and the purpose of this paper is to classify them in all finite groups, extending the Tornehave–Bouc classification in the case of -groups.
Certain normal subgroups of units in group rings.
Characterization of a radical of group rings over finite prime fields.
Clifford theory for group-graded rings.
Clifford theory for group-graded rings. II.
Clifford theory for p-sections of finite groups