Trou spectral dans les groupes simples

2021/03/11 by He, Weikun, de Saxcé, Nicolas
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2103.06679

Abstract

Nous montrons la propriété du trou spectral pour la famille des graphes de Cayley obtenus par réduction modulo q d'un sous-groupe de SL_d(ℤ) dont l'adhérence de Zariski est un ℚ-groupe simple. -- We show a spectral gap property for the family of Cayley graphs obtained by reduction modulo q of a subgroup of SL_d(ℤ) whose Zariski closure is a simple ℚ-group.

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