Thomas Breuer

collaborators

4 papers

math.GR2026

On the total character of a finite group

Thomas Breuer, LÃ¡szlÃ³ HÃ©thelyi, Burkhard KÃ¼lshammer +1

The total character $I ¨ _{G}$ of a finite group $G$ is the sum of all irreducible complex characters of $G$ , and the total degree of $G$ is $T (G) := I ¨ _{G} (1)$ . A proper subgroup $H$ of…

math.GR2025

Finite groups whose real irreducible representations have unique dimensions

Thomas Breuer, Frank Calegari, Silvio Dolfi +2

We determine the finite groups whose real irreducible representations have different degrees.

math.GR2025

Counting Irreducible Representations of a Finite Abelian Group

Thomas Breuer, Prashun Kumar, Geetha Venkataraman

Let $q$ be a power of a prime $p$ , $G$ be a finite abelian group, where $p$ does not divide $∣ G ∣$ ,and let $n$ be a positive integer. In this paper we find a formula for the number…

math.GR2025

Zeros of $S$ -characters

Thomas Breuer, Michael Joswig, Gunter Malle

The concept of $S$ -characters of finite groups was introduced by Zhmud' as a generalisation of transitive permutation characters. Any non-trivial $S$ -character takes a zero value o…

On the total character of a finite group

Finite groups whose real irreducible representations have unique dimensions

Counting Irreducible Representations of a Finite Abelian Group

Zeros of S-characters

Zeros of $S$ -characters