Urban Jezernik

activity

20122026

most citedBabai's conjecture for high-rank classical groups with random generators

13 citations · 23 across the 15 of their papers we have counts for

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4 papers · 1 filter

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.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.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…

math.RA2024

Two-generation of traceless matrices over finite fields

Omer Cantor, Urban Jezernik, Andoni Zozaya

We prove that the Lie algebra $sl_{n} (F_{q})$ of traceless matrices over a finite field of characteristic $p$ can be generated by $2$ elements with exceptions when…

Random generation of the special linear Lie algebra over finite fields

Diameter bounds for finite simple Lie algebras

Random Lie bracket on sl2​(Fp​)

Two-generation of traceless matrices over finite fields

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