Urban Jezernik

activity

20122026

most citedOn p-central groups

1 citations · 1 across the 9 of their papers we have counts for

collaborators

13 papers

math.RT2026

Additive diameters and covering complexity of irreducible representations

Urban Jezernik, Špela Špenko

Let a group $G$ act linearly on a finite-dimensional complex vector space $V$ . The group-additive diameter of a subspace $U \leq V$ is the least number of translates of $U$ whose s…

math.RA2026

Random generation of the special linear Lie algebra over finite fields

Urban Jezernik, Andoni Zozaya

We prove that the special linear Lie algebra $sl_{n} (F_{q})$ over a finite field of characteristic $p$ is generated by two random elements with high probability as…

math.SP2026

Strong convergence of random representations of free products of finite groups

Marco Barbieri, Urban Jezernik

We extend the polynomial method of Chen--Garza-Vargas--Tropp--van Handel and Magee--Puder--van Handel for operator-norm bounds in random permutation models to the setting where tor…

math.RA2025

Diameter bounds for finite simple Lie algebras

Marco Barbieri, Urban Jezernik, Matevž Miščič

We prove strong and explicit diameter bounds for finite simple Lie algebras, which parallel Babai's conjecture for finite simple groups. Specifically, we show that any nonabelian f…

math.RT2025

Additive diameters of group representations

Urban Jezernik, Špela Špenko

We explore the concept of additive diameters in the context of group representations, unifying various noncommutative Waring-type problems. Given a finite-dimensional representatio…

math.RA2025

Random Lie bracket on $sl_{2} (F_{p})$

Urban Jezernik, Matevž Miščič

We study a random walk on the Lie algebra $sl_{2} (F_{p})$ where new elements are produced by randomly applying adjoint operators of two generators. Focusing on the…