A structural property concerning abstract commensurability of subgroups

RI Grigorchuk; John Wilson

doi:10.1112/S0024610703004745

A structural property concerning abstract commensurability of subgroups

RI Grigorchuk, John Wilson

Mathematics

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19 Citations (Scopus)

Abstract

Further properties of a group F introduced by the first author in 1980 (sometimes called the first Grigorchuk group) are established. These are notably that any two infinite finitely generated subgroups of F have isomorphic subgroups of finite index and that the generalized word problem for F is soluble.

Original language	English
Pages (from-to)	671-682
Number of pages	12
Journal	Journal of the London Mathematical Society
Volume	68
DOIs	https://doi.org/10.1112/S0024610703004745
Publication status	Published - 1 Dec 2003

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title = "A structural property concerning abstract commensurability of subgroups",

abstract = "Further properties of a group F introduced by the first author in 1980 (sometimes called the first Grigorchuk group) are established. These are notably that any two infinite finitely generated subgroups of F have isomorphic subgroups of finite index and that the generalized word problem for F is soluble.",

author = "RI Grigorchuk and John Wilson",

year = "2003",

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AU - Wilson, John

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AB - Further properties of a group F introduced by the first author in 1980 (sometimes called the first Grigorchuk group) are established. These are notably that any two infinite finitely generated subgroups of F have isomorphic subgroups of finite index and that the generalized word problem for F is soluble.

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DO - 10.1112/S0024610703004745

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SP - 671

EP - 682

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

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A structural property concerning abstract commensurability of subgroups

Abstract

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