Representation zeta functions of groups of type $A_2$ in positive characteristic
Representation Theory
2024-05-02 v2
Abstract
We prove two conjectures regarding the representation growth of groups of type . The first, conjectured by Avni, Klopsch, Onn and Voll, regards the uniformity of representation zeta functions over local complete discrete valuation rings. The second is the Larsen--Lubotzky conjecture on the representation growth of irreducible lattices in groups of type in positive characteristic assuming Serre's conjecture on the congruence subgroup problem.
Keywords
Cite
@article{arxiv.2308.07073,
title = {Representation zeta functions of groups of type $A_2$ in positive characteristic},
author = {Uri Onn and Amritanshu Prasad and Pooja Singla},
journal= {arXiv preprint arXiv:2308.07073},
year = {2024}
}