Characterization of a radical of group rings over finite prime fields.
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 finite quasigroups VII: permutation characters
Each homogeneous space of a quasigroup affords a representation of the Bose-Mesner algebra of the association scheme given by the action of the multiplication group. The homogeneous space is said to be faithful if the corresponding representation of the Bose-Mesner algebra is faithful. In the group case, this definition agrees with the usual concept of faithfulness for transitive permutation representations. A permutation character is associated with each quasigroup permutation representation,...
Characters of Groups with Normal Extra Special Subgroups.
Chern classes of group representations over a number field
Chern-Klassen von ganzzahligen und rationalen Darstellungen dsikreter Gruppen.
Class 2 Galois representations of Kummer type.
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.
Classification of the Primitive Representations of the Galois Group of Local Fields.
Clifford theory for group-graded rings.
Clifford theory for group-graded rings. II.
Clifford theory for p-sections of finite groups
Cliques of irreducible representations of p-solvable groups and a theorem analogous to Alperin's conjecture.
Coalgebra and algebra structure on representations of general complex linear groups
Cohomology of groups, Abelian Sylow subgroups and splendid equivalences.
Cohomology of modules in the principal block of a finite group.
Coleman automorphisms of finite groups with a self-centralizing normal subgroup
Let be a finite group with a normal subgroup such that . It is shown that under some conditions, Coleman automorphisms of are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.