Self-similarity of p-adic groups

Amir Y. Weiss Behar; Devora Zalaznik

doi:10.1016/j.jalgebra.2024.11.001

Self-similarity of p-adic groups

Amir Y. Weiss Behar^*
, Devora Zalaznik

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	30-38
Number of pages	9
Journal	Journal of Algebra
Volume	665
DOIs	https://doi.org/10.1016/j.jalgebra.2024.11.001
State	Published - 1 Mar 2025

Bibliographical note

Publisher Copyright:
© 2024 Elsevier Inc.

Keywords

Self-similar groups
Simple p-adic Lie groups

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10.1016/j.jalgebra.2024.11.001

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title = "Self-similarity of p-adic groups",

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.",

keywords = "Self-similar groups, Simple p-adic Lie groups",

author = "\{Weiss Behar\}, \{Amir Y.\} and Devora Zalaznik",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier Inc.",

year = "2025",

month = mar,

day = "1",

doi = "10.1016/j.jalgebra.2024.11.001",

language = "אנגלית",

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AU - Weiss Behar, Amir Y.

AU - Zalaznik, Devora

PY - 2025/3/1

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N2 - 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.

AB - 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.

KW - Self-similar groups

KW - Simple p-adic Lie groups

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DO - 10.1016/j.jalgebra.2024.11.001

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SN - 0021-8693

VL - 665

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EP - 38

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Self-similarity of p-adic groups

Abstract

Bibliographical note

Keywords

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