Continuously many quasi-isometry classes of residually finite groups

Hip Kuen Chong; Daniel T. Wise

doi:10.1017/S0017089523000137

Continuously many quasi-isometry classes of residually finite groups

Hip Kuen Chong
, Daniel T. Wise

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

Abstract

We study a family of finitely generated residually finite small-cancellation groups. These groups are quotients of depending on a subset of positive integers. Varying yields continuously many groups up to quasi-isometry.

Original language	English
Pages (from-to)	569-572
Number of pages	4
Journal	Glasgow Mathematical Journal
Volume	65
Issue number	3
DOIs	https://doi.org/10.1017/S0017089523000137
State	Published - 19 Sep 2023
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1017/S0017089523000137

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title = "Continuously many quasi-isometry classes of residually finite groups",

abstract = "We study a family of finitely generated residually finite small-cancellation groups. These groups are quotients of depending on a subset of positive integers. Varying yields continuously many groups up to quasi-isometry.",

author = "Chong, \{Hip Kuen\} and Wise, \{Daniel T.\}",

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AU - Chong, Hip Kuen

AU - Wise, Daniel T.

PY - 2023/9/19

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N2 - We study a family of finitely generated residually finite small-cancellation groups. These groups are quotients of depending on a subset of positive integers. Varying yields continuously many groups up to quasi-isometry.

AB - We study a family of finitely generated residually finite small-cancellation groups. These groups are quotients of depending on a subset of positive integers. Varying yields continuously many groups up to quasi-isometry.

UR - https://www.scopus.com/pages/publications/85163733485

U2 - 10.1017/S0017089523000137

DO - 10.1017/S0017089523000137

M3 - مقالة

SN - 0017-0895

VL - 65

SP - 569

EP - 572

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 3

ER -

Continuously many quasi-isometry classes of residually finite groups

Abstract

ASJC Scopus subject areas

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