Peter Muller

collaborators

5 papers

math.NT2026

Explicitly combing hedgehogs over fields of Stufe 4

Peter MÃ¼ller

Let $K [x, y, z] = K [X, Y, Z] / (X^{2} + Y^{2} + Z^{2} - 1)$ be the coordinate ring of the algebraic unit sphere over a field $K$ . Umberto Zannier showed that there exists a matrix in $\operatorname{SL…

math.GR2026

A note about Jordan's bound on the size of finite linear groups

Peter MÃ¼ller

In 1878 Camille Jordan showed that every finite subgroup $G \leq GL_{n} (C)$ has an abelian normal subgroup $A$ such that $∣ G / A ∣$ is bounded in terms of $n$ , bu…

math.GR2025

Transitive sets of derangements in primitive actions of PSL_2(q)

Peter MÃ¼ller

Problem 8.75 of the Kourovka Notebook [10], attributed to John G. Thompson, asks the following: Suppose $G$ is a finite primitive permutation group on $I^c ◯$ , and $I^\pm$ , $I^^{2}$ are dist…

math.CO2025

On Euler's magic matrices of sizes $3$ and $8$

Peter MÃ¼ller

A proper Euler's magic matrix is an integer $n \times n$ matrix $M \in Z^{n \times n}$ such that $M \cdot M^{t} = I^^{3} \cdot I$ for some nonzero constant $I^^{3}$ , the sum of the squares o…

math.GR2025

Normal subgroups and permutation characters: a correction to a proof of Klingen

Peter Muller, Pablo Spiga

Let $G$ be a finite group. For subgroups $U$ and $V$ let $1_{U}^{G}$ and $1_{V}^{G}$ be the permutation characters for the action of $G$ on the right cosets of $U$ and $V$ , respectively. L…

Explicitly combing hedgehogs over fields of Stufe 4

A note about Jordan's bound on the size of finite linear groups

Transitive sets of derangements in primitive actions of PSL_2(q)

On Euler's magic matrices of sizes 3 and 8

Normal subgroups and permutation characters: a correction to a proof of Klingen

On Euler's magic matrices of sizes $3$ and $8$