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arXiv · 2308.07073

Representation zeta functions of groups of type $A_2$ in positive characteristic

Uri Onn·Amritanshu Prasad·Pooja Singla
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Abstract

We prove two conjectures regarding the representation growth of groups of type $A_2$. 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 $A_2$ in positive characteristic assuming Serre's conjecture on the congruence subgroup problem.

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BibTeXRIS

Uri Onn, Amritanshu Prasad, Pooja Singla. 2023-08-14. Representation zeta functions of groups of type $A_2$ in positive characteristic. https://arxiv.org/abs/2308.07073

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