A note on doubles of groups

Nadia Benakli; Oliver T. Dasbach; Yair Glasner; Brian Mangum

doi:10.1016/S0022-4049(99)00176-0

A note on doubles of groups

Nadia Benakli, Oliver T. Dasbach, Yair Glasner, Brian Mangum

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

3 Scopus citations

Abstract

Recently, Rips produced an example of a double of two free groups which has unsolvable generalized word problem. In this paper, we show that Rips's example fits into a large class of doubles of groups, each member of which contains F₂×F₂ and therefore has unsolvable generalized word problem and is incoherent.

Original language	English
Pages (from-to)	147-151
Number of pages	5
Journal	Journal of Pure and Applied Algebra
Volume	156
Issue number	2-3
DOIs	https://doi.org/10.1016/S0022-4049(99)00176-0
State	Published - 23 Feb 2001
Externally published	Yes

Keywords

20E06
20E08
20E26
20F10
20F65

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/S0022-4049(99)00176-0

Cite this

@article{c1b1f58fc2f84f77b86b9f4efd63fe15,

title = "A note on doubles of groups",

abstract = "Recently, Rips produced an example of a double of two free groups which has unsolvable generalized word problem. In this paper, we show that Rips's example fits into a large class of doubles of groups, each member of which contains F2×F2 and therefore has unsolvable generalized word problem and is incoherent.",

keywords = "20E06, 20E08, 20E26, 20F10, 20F65",

author = "Nadia Benakli and Dasbach, {Oliver T.} and Yair Glasner and Brian Mangum",

year = "2001",

month = feb,

day = "23",

doi = "10.1016/S0022-4049(99)00176-0",

language = "English",

volume = "156",

pages = "147--151",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

number = "2-3",

}

TY - JOUR

T1 - A note on doubles of groups

AU - Benakli, Nadia

AU - Dasbach, Oliver T.

AU - Glasner, Yair

AU - Mangum, Brian

PY - 2001/2/23

Y1 - 2001/2/23

N2 - Recently, Rips produced an example of a double of two free groups which has unsolvable generalized word problem. In this paper, we show that Rips's example fits into a large class of doubles of groups, each member of which contains F2×F2 and therefore has unsolvable generalized word problem and is incoherent.

AB - Recently, Rips produced an example of a double of two free groups which has unsolvable generalized word problem. In this paper, we show that Rips's example fits into a large class of doubles of groups, each member of which contains F2×F2 and therefore has unsolvable generalized word problem and is incoherent.

KW - 20E06

KW - 20E08

KW - 20E26

KW - 20F10

KW - 20F65

UR - http://www.scopus.com/inward/record.url?scp=0035937078&partnerID=8YFLogxK

U2 - 10.1016/S0022-4049(99)00176-0

DO - 10.1016/S0022-4049(99)00176-0

M3 - Article

AN - SCOPUS:0035937078

SN - 0022-4049

VL - 156

SP - 147

EP - 151

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2-3

ER -

A note on doubles of groups

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this