7 papers
On the total character of a finite group
Thomas Breuer, László Héthelyi, Burkhard Külshammer +1
The total character of a finite group is the sum of all irreducible complex characters of , and the total degree of is . A proper subgroup of $…
On Frobenius graphs of diameter 3 for finite groups
Thomas Breuer, László Héthelyi, Erzsébet Horváth +1
For a subgroup of a finite group , the Frobenius graph records the constituents of the restrictions to of the irreducible characters of . We investigate whe…
Group algebras in which the socle of the center is an ideal
Sofia Brenner, Burkhard Külshammer
Let be a field of characteristic . We study the structure of the finite groups for which the socle of the center of is an ideal in and classify the finite…
Ideals in the center of symmetric algebras
Sofia Brenner, Burkhard Külshammer
We study symmetric algebras over an algebraically closed field in which the Jacobson radical of the center of , the socle of the center of or the Reynolds ideal of $…
Congruences for sums of powers of an integer
Leif Jacob, Burkhard Külshammer
For coprime positive integers and , let denote the least positive integer such that there exists a sum of powers of which is divisible by . We prove…
The Loewy Structure of Certain Fixpoint Algebras, Part II
Thomas Breuer, László Héthelyi, Erzsébet Horváth +1
In Part I of this paper, we introduced a class of certain algebras of finite dimension over a field. All these algebras are split, symmetric and local. Here we continue to investig…
Anchors of irreducible characters
Radha Kessar, Burkhard Külshammer, Markus Linckelmann
Given a prime number , every irreducible character of a finite group determines a unique conjugacy class of -subgroups of which we will call the anchors of . T…