TY - JOUR
T1 - Representation Zeta Functions of Groups of Type A2 in Positive Characteristic
AU - Onn, Uri
AU - Prasad, Amritanshu
AU - Singla, Pooja
N1 - Publisher Copyright:
© The Author(s) 2025.
PY - 2025/1/1
Y1 - 2025/1/1
N2 - We prove two conjectures regarding the representation growth of groups of type A2. The first, conjectured by Avni, Klopsch, Onn, and Voll, regards the universality 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 A2 in positive characteristic, assuming Serre’s conjecture on the congruence subgroup property.
AB - We prove two conjectures regarding the representation growth of groups of type A2. The first, conjectured by Avni, Klopsch, Onn, and Voll, regards the universality 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 A2 in positive characteristic, assuming Serre’s conjecture on the congruence subgroup property.
UR - https://www.scopus.com/pages/publications/85215990637
U2 - 10.1093/imrn/rnae270
DO - 10.1093/imrn/rnae270
M3 - Article
AN - SCOPUS:85215990637
SN - 1073-7928
VL - 2025
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 2
M1 - rnae270
ER -