Residually finite tubular groups

Nima Hoda; Daniel T. Wise; Daniel J. Woodhouse

doi:10.1017/prm.2019.52

Residually finite tubular groups

Nima Hoda, Daniel T. Wise, Daniel J. Woodhouse

Mathematics

Technion - Israel Institute of Technology

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

Abstract

A tubular group G is a finite graph of groups with 2 vertex groups and edge groups. We characterize residually finite tubular groups: G is residually finite if and only if its edge groups are separable. Methods are provided to determine if G is residually finite. When G has a single vertex group an algorithm is given to determine residual finiteness.

Original language	English
Pages (from-to)	2937-2951
Number of pages	15
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	150
Issue number	6
DOIs	https://doi.org/10.1017/prm.2019.52
State	Published - Dec 2020

Keywords

Residually Finite
Tubular Groups

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/prm.2019.52

Cite this

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title = "Residually finite tubular groups",

abstract = "A tubular group G is a finite graph of groups with 2 vertex groups and edge groups. We characterize residually finite tubular groups: G is residually finite if and only if its edge groups are separable. Methods are provided to determine if G is residually finite. When G has a single vertex group an algorithm is given to determine residual finiteness.",

keywords = "Residually Finite, Tubular Groups",

author = "Nima Hoda and Wise, \{Daniel T.\} and Woodhouse, \{Daniel J.\}",

note = "Publisher Copyright: Copyright {\textcopyright} 2019 The Royal Society of Edinburgh.",

year = "2020",

month = dec,

doi = "10.1017/prm.2019.52",

language = "الإنجليزيّة",

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journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",

issn = "0308-2105",

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TY - JOUR

T1 - Residually finite tubular groups

AU - Hoda, Nima

AU - Wise, Daniel T.

AU - Woodhouse, Daniel J.

PY - 2020/12

Y1 - 2020/12

N2 - A tubular group G is a finite graph of groups with 2 vertex groups and edge groups. We characterize residually finite tubular groups: G is residually finite if and only if its edge groups are separable. Methods are provided to determine if G is residually finite. When G has a single vertex group an algorithm is given to determine residual finiteness.

AB - A tubular group G is a finite graph of groups with 2 vertex groups and edge groups. We characterize residually finite tubular groups: G is residually finite if and only if its edge groups are separable. Methods are provided to determine if G is residually finite. When G has a single vertex group an algorithm is given to determine residual finiteness.

KW - Residually Finite

KW - Tubular Groups

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U2 - 10.1017/prm.2019.52

DO - 10.1017/prm.2019.52

M3 - مقالة

SN - 0308-2105

VL - 150

SP - 2937

EP - 2951

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

IS - 6

ER -

Residually finite tubular groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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