3 papers
math.GR2022
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…
math.NT2022
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…
math.RT2019
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…