Bernhard Bohmler

activity

20212025

collaborators

6 papers

math.RT2025

Trivial source characters in blocks of domestic representation type

Bernhard Böhmler

Let $G$ be a finite group of even order, let $k$ be an algebraically closed field of characteristic $2$ , and let $B$ be a block of the group algebra $k G$ which is of domestic repre…

math.CO2024

Frieze patterns over finite commutative local rings

Bernhard Böhmler, Michael Cuntz

We count numbers of tame frieze patterns with entries in a finite commutative local ring. For the ring $Z / p^{r} Z$ , $p$ a prime and $r \in N$ we obtain closed…

math.RT2024

Trivial source character tables of Frobenius groups of type $(C_{p} \times C_{p}) ⋊ H$

Bernhard Böhmler, Caroline Lassueur

Let $p$ be a prime number. We compute the trivial source character tables of finite Frobenius groups $G$ with an abelian Frobenius complement $H$ and an elementary abelian Frobeniu…

math.RT2023

Selfextensions of modules over group algebras

Bernhard Böhmler, Karin Erdmann, Viktória Klász +1

Let $K G$ be a group algebra with $G$ a finite group and $K$ a field and $M$ an indecomposable $K G$ -module. We pose the question, whether $E x t_{K G}^{1} (M, M) \neq = 0$ implies that $Ext_…

math.RT2021

On the extension-closed property for the subcategory $Tr (Ω^{2} (mod - A))$

Bernhard Böhmler, René Marczinzik

We present a monomial quiver algebra $A$ having the property that the subcategory $Tr (Ω^{2} (mod - A))$ is not extension-closed. This answers a question raised by Idun Reit…

math.RT2021

A Cluster tilting module for a representation-infinite block of a group algebra

Bernhard Böhmler, Rene Marczinzik

Let $G = S L (2, 5)$ be the special linear group of $2 \times 2$ -matrices with coefficients in the field with $5$ elements. We show that the principal block over a splitting field $K$ o…