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Bibliographic Details
Main Authors: del Castillo, Héctor, Lomelí, Luis
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.00467
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Table of Contents:
  • We prove Kim's Assumtion A for the split classical groups in positive characteristic. Actually, we work in the slightly more general setting of groups of classical kind, which includes quasi-split classical groups and generalized spinor groups. We establish our results whenever a local Ramanujan bound holds; a bound that is known for the split classical groups in characteristic $p$, and we prove it for groups of classical kind under a local-global restriction.