About ambivalent groups
An explicit Brauer formula for local Galois characters.
Auflösbare Gruppen auf denen nicht auflösbare Gruppen operieren.
Bestimmung von Untergruppen durch Permutationsdarstellungen.
Bilinear forms for SL(2,q), An and similar groups.
The set of invariant symmetric bilinear forms on irreducible modules over fields of characteristic zero for certain groups is studied. Results are obtained under the presence in a finite group of elements of order four whose square is central. In particular, we find that the relevant modules for the groups mentioned in the title always accept an invariant symmetric bilinear form under which the module admits an orthonormal basis.
Binary Polyhedral Groups and Euclidean Diagrams.
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.
Caractères venant des ...-normalisateurs d'une groupe fini résoluble.
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.
Certains invariants entiers d' un p-bloc.
Character induction in p-groups.
Character Ramification and M-Groups.
Characterizing projective general unitary groups by their complex group algebras
Let be a finite group. Let be the first column of the ordinary character table of . We will show that if , then . As a consequence, we show that the projective general unitary groups are uniquely determined by the structure of their complex group algebras.
Characters and systems of subgroups.
Characters and the generalized Fitting subgroup
Characters of finite groups and divisibility problems. (Charaktere endlicher Gruppen und Teilbarkeitsfragen.)
Characters of Groups with Normal Extra Special Subgroups.
Chern classes of group representations over a number field
Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character
In this note, we study finite groups possessing exactly one nonlinear non-faithful irreducible character. Our main result is to classify solvable groups that satisfy this property. Also, we give examples to show that these groups need not to be solvable in general.
Clifford theory for group-graded rings.