Self-similarity of p-adic groups

2023/12/20 by Behar, Amir Y. Weiss, Zalaznik, Devora
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2312.12944

Abstract

We show that a compact open subgroup H of a simple algebraic p-adic group G is self-similar if and only if it is isotropic.

Related

• On the self-similarity index of p-adic analytic pro-p groups
• On hereditarily self-similar p-adic analytic pro-p groups
• On self-similar finite p-groups
• On the self-similarity of the norm one group of p-adic division algebras
• Self-similar sets and self-similar measures in the p-adics