Branching rules for modular representations of symmetric groups, II.
Brauer Correspondence and Characters of Height Zero of Monomial Groups.
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.
Brauer Trees in GL(n, q).
Calculs d'invariants primitifs de groupes finis
Calculs d'invariants primitifs de groupes finis
We introduce in this article a new method to calculate all absolute and relatif primitive invariants of finite groups. This method is inspired from K. Girstmair which calculate an absolute primitive invariant of minimal degree. Are presented two algorithms, the first one enable us to calculate all primitive invariants of minimal degree, and the second one calculate all absolute or relative primitive invariants with distincts coefficients. This work take place in Galois Theory and Invariant Theory. ...
Canonical bases for normal subgroups of finitely generated free groups with finite abelian factor groups.
Canonical Brauer induction and symmetric groups
Imitating the approach of canonical induction formulas we derive a formula that expresses every character of the symmetric group as an integer linear combination of Young characters. It is different from the well-known formula that uses the determinantal form.
Caractères et sous-groupes des groupes de Suzuki
Caractères venant des ...-normalisateurs d'une groupe fini résoluble.
Catégories dérivées et variétés de Deligne-Lusztig
Cells and constructible representations in type .
Cellular algebras.
Centralizers of gap groups
A finite group G is called a gap group if there exists an ℝG-module which has no large isotropy groups except at zero and satisfies the gap condition. The gap condition facilitates the process of equivariant surgery. Many groups are gap groups and also many groups are not. In this paper, we clarify the relation between a gap group and the structures of its centralizers. We show that a nonsolvable group which has a normal, odd prime power index proper subgroup is a gap group.
Certain normal subgroups of units in group rings.
Certains invariants entiers d' un p-bloc.
Character Correspondence in Finite General Linear, Unitary and Symmetric Groups.
Character formula for wreath products of compact groups with the infinite symmetric group
Let be the wreath product of a compact group T with the infinite symmetric group . We study the characters of factor representations of finite type of G, and give a formula which expresses all the characters explicitly.
Character induction in p-groups.
Character polynomials, their -analogs and the Kronecker product.