J. Merzel

activity

20212025

collaborators

Showing 2023Show all

3 papers · 1 filter

math.RA2023

On the arithmetic of the join rings over finite fields

Sunil K. Chebolu, Jonathan Merzel, Ján Mináč +3

Given a collection ${G_{i}}_{i = 1}^{d}$ of finite groups and a ring $R$ , we have previously introduced and studied certain foundational properties of the join ring $\mathcal{J}_{G_1,…

math.SP2023

Spectral perturbation by rank- $m$ matrices

Jonathan L. Merzel, Ján Mináč, Tung T. Nguyen +1

Let $A$ and $B$ designate $n \times n$ matrices with coefficients in a field $F$ . In this paper, we completely answer the following question: For $A$ fixed, what are the possible ch…

math.RT2023

$G$ -circulant Matrices and the Classical Maschke Theorem

Jon Merzel

In this note, we use the isomorphism of the ring of $G$ -circulant matrices over a field $k$ with the group ring $k [G]$ to derive a very short proof of the Classical Maschke Theorem…

On the arithmetic of the join rings over finite fields

Spectral perturbation by rank-m matrices

G-circulant Matrices and the Classical Maschke Theorem

Spectral perturbation by rank- $m$ matrices

$G$ -circulant Matrices and the Classical Maschke Theorem