R. Preusser

activity

20152022

most citedWeighted Leavitt path algebras -- an overview

2 citations · 2 across the 10 of their papers we have counts for

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7 papers · 1 filter

math.KT2020

The subnormal structure of classical-like groups over commutative rings

Raimund Preusser

Let $n$ be an integer greater than or equal to $3$ and $(R, Δ)$ a Hermitian form ring where $R$ is commutative. We prove that if $H$ is a subgroup of the odd-dimensional unitary gro…

math.KT2020

On products of conjugacy classes in general linear groups

Raimund Preusser

Let $K$ be a field and $n \geq 3$ . Let $E_{n} (K) \leq H \leq G L_{n} (K)$ be an intermediate group and $C$ a noncentral $H$ -class. Define $m (C)$ as the minimal positive integer $m$ such tha…

math.KT2018

The E-normal structure of Petrov's odd unitary groups over commutative rings

Raimund Preusser

For an odd quadratic space $V$ of Witt index $\geq 3$ over a commutative ring with pseudoinvolution, we classify the subgroups of the odd unitary group $U (V)$ that are normalized b…

math.KT2018

Bases for Kumjian-Pask algebras over standard $k$ -graphs

Raimund Preusser

For any Kumjian-Pask algebra $K P_{R} (Λ)$ defined over a $k$ -graph $Λ$ of a special kind (a "standard $k$ -graph"), we obtain an $R$ -basis.

math.KT2018

Sandwich classification for $O_{2 n + 1} (R)$ and $U_{2 n + 1} (R, Δ)$ revisited

Raimund Preusser

In a recent paper, the author proved that if $n \geq 3$ is a natural number, $R$ a commutative ring and $σ \in G L_{n} (R)$ , then $t_{k l} (σ_{ij})$ where $i \neq = j$ and $k \neq = l$ can be ex…

math.KT2017

Sandwich classification for $G L_{n} (R)$ , $O_{2 n} (R)$ and $U_{2 n} (R, Λ)$ revisited

Raimund Preusser

Let $n$ be a natural number greater or equal to $3$ , $R$ a commutative ring and $σ \in G L_{n} (R)$ . We show that $t_{k l} (σ_{ij})$ (resp. $t_{k l} (σ_{ii} - σ_{j j}))$ where $i \neq = j$ and $k…

The subnormal structure of classical-like groups over commutative rings

On products of conjugacy classes in general linear groups

The E-normal structure of Petrov's odd unitary groups over commutative rings

Bases for Kumjian-Pask algebras over standard k-graphs

Sandwich classification for O2n+1​(R) and U2n+1​(R,Δ) revisited

Sandwich classification for GLn​(R), O2n​(R) and U2n​(R,Λ) revisited

Bases for Kumjian-Pask algebras over standard $k$ -graphs

Sandwich classification for $O_{2 n + 1} (R)$ and $U_{2 n + 1} (R, Δ)$ revisited

Sandwich classification for $G L_{n} (R)$ , $O_{2 n} (R)$ and $U_{2 n} (R, Λ)$ revisited