An uncountable family of finitely generated residually finite groups

Hip Kuen Chong; Daniel T. Wise

doi:10.1515/jgth-2021-0094

An uncountable family of finitely generated residually finite groups

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

Abstract

We study a family of finitely generated residually finite groups. These groups are doubles F2∗H F2 of a rank-2 free group F2 along an infinitely generated subgroup H. Varying H yields uncountably many groups up to isomorphism.

Original language	English
Pages (from-to)	207-216
Number of pages	10
Journal	Journal of Group Theory
Volume	25
Issue number	2
DOIs	https://doi.org/10.1515/jgth-2021-0094
State	Published - 1 Mar 2022
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1515/jgth-2021-0094

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title = "An uncountable family of finitely generated residually finite groups",

abstract = "We study a family of finitely generated residually finite groups. These groups are doubles F2∗H F2 of a rank-2 free group F2 along an infinitely generated subgroup H. Varying H yields uncountably many groups up to isomorphism.",

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

note = "Publisher Copyright: {\textcopyright} 2021 Walter de Gruyter GmbH, Berlin/Boston 2022.",

year = "2022",

month = mar,

day = "1",

doi = "10.1515/jgth-2021-0094",

language = "الإنجليزيّة",

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AU - Wise, Daniel T.

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N2 - We study a family of finitely generated residually finite groups. These groups are doubles F2∗H F2 of a rank-2 free group F2 along an infinitely generated subgroup H. Varying H yields uncountably many groups up to isomorphism.

AB - We study a family of finitely generated residually finite groups. These groups are doubles F2∗H F2 of a rank-2 free group F2 along an infinitely generated subgroup H. Varying H yields uncountably many groups up to isomorphism.

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U2 - 10.1515/jgth-2021-0094

DO - 10.1515/jgth-2021-0094

M3 - مقالة

SN - 1433-5883

VL - 25

SP - 207

EP - 216

JO - Journal of Group Theory

JF - Journal of Group Theory

IS - 2

ER -

An uncountable family of finitely generated residually finite groups

Abstract

All Science Journal Classification (ASJC) codes

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