A. Stasinski

collaborators

4 papers

math.RA2025

On Fillmore's theorem over integrally closed domains

Alexander Stasinski

A well-known theorem of Fillmore says that if $A \in M_{n} (K)$ is a non-scalar matrix over a field $K$ and $I^_{1}^{3}, \dots, I^_{n}^{3} \in K$ are such that $Î³_{1}+\dots+Î³_{n…

math.RT2024

The conjugation representation of $GL_{2}$ and $SL_{2}$ over finite local rings

Nariel Monteiro, Alexander Stasinski

The conjugation representation of a finite group $G$ is the complex permutation module defined by the action of $G$ on itself by conjugation. Addressing a problem raised by Hain mo…

math.GR2024

Rationality of twist representation zeta functions of compact $p$ -adic analytic groups

Alexander Stasinski, Michele Zordan

We prove that for any twist rigid compact $p$ -adic analytic group $G$ , its twist representation zeta function is a finite sum of terms $n_{i}^{- s} f_{i} (p^{- s})$ , where $n_{i}$ are…

math.GR2024

Rationality of representation zeta functions of compact $p$ -adic analytic groups

Alexander Stasinski, Michele Zordan

We prove that for any FAb compact $p$ -adic analytic group $G$ , its representation zeta function is a finite sum of terms $n_{i}^{- s} f_{i} (p^{- s})$ , where $n_{i}$ are natural number…

On Fillmore's theorem over integrally closed domains

The conjugation representation of GL2​ and SL2​ over finite local rings

Rationality of twist representation zeta functions of compact p-adic analytic groups

Rationality of representation zeta functions of compact p-adic analytic groups

The conjugation representation of $GL_{2}$ and $SL_{2}$ over finite local rings

Rationality of twist representation zeta functions of compact $p$ -adic analytic groups

Rationality of representation zeta functions of compact $p$ -adic analytic groups