M. Seidel

activity

20242026

collaborators

4 papers

math.GR2026

Stable Invariants of Words from Random Matrices

Doron Puder, Yotam Shomroni, Danielle Ernst-West +1

Let $w$ be a word in a free group. A few years ago, Magee and the first named author discovered that the stable commutator length (scl) of $w$ , a well-known topological invariant,…

math.GR2025

Exposure Orders in Free Group Algebras: Minimal Schreier Transversals, Free Bases, and GrÃ¶bner Bases

Matan Seidel

Consider the free group algebra $K [F]$ , where $F$ is a free group and $K$ a field. A well-order $≺$ on $F$ is called an exposure order if words are greater than thei…

math.GR2025

Primitivity Testing in Free Group Algebras via Duality

Matan Seidel, Danielle Ernst-West, Doron Puder

Let $K$ be a field and $F$ a free group. By a classical result of Cohn and Lewin, the free group algebra $K [F]$ is a free ideal ring (FIR): a ring over which the submodu…

math.GR2024

Word Measures on $G L_{N} (q)$ and Free Group Algebras

Danielle Ernst-West, Doron Puder, Matan Seidel

Fix a finite field $K$ of order $q$ and a word $w$ in a free group $F$ on $r$ generators. A $w$ -random element in $G L_{N} (K)$ is obtained by sampling $r$ independent uniformly random…

Stable Invariants of Words from Random Matrices

Exposure Orders in Free Group Algebras: Minimal Schreier Transversals, Free Bases, and GrÃ¶bner Bases

Primitivity Testing in Free Group Algebras via Duality

Word Measures on GLN​(q) and Free Group Algebras

Word Measures on $G L_{N} (q)$ and Free Group Algebras