A remark on double cosets

James Howie

Research output: Contribution to journalArticle

Abstract

If a soluble group G contains two finitely generated abelian subgroups A,B such that the number of double cosets AgB is finite, then G is shown to be virtually polycyclic. © 2009 Elsevier Inc.

Original languageEnglish
Pages (from-to)185-191
Number of pages7
JournalJournal of Algebra
Volume326
Issue number1
DOIs
Publication statusPublished - 15 Jan 2011

Fingerprint

Soluble Group
Coset
Finitely Generated
Subgroup

Keywords

  • Double cosets
  • Soluble groups

Cite this

Howie, James. / A remark on double cosets. In: Journal of Algebra. 2011 ; Vol. 326, No. 1. pp. 185-191.
@article{cddacb77422f4c7a9fda2d2a3e327f7b,
title = "A remark on double cosets",
abstract = "If a soluble group G contains two finitely generated abelian subgroups A,B such that the number of double cosets AgB is finite, then G is shown to be virtually polycyclic. {\circledC} 2009 Elsevier Inc.",
keywords = "Double cosets, Soluble groups",
author = "James Howie",
year = "2011",
month = "1",
day = "15",
doi = "10.1016/j.jalgebra.2009.04.010",
language = "English",
volume = "326",
pages = "185--191",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
number = "1",

}

A remark on double cosets. / Howie, James.

In: Journal of Algebra, Vol. 326, No. 1, 15.01.2011, p. 185-191.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A remark on double cosets

AU - Howie, James

PY - 2011/1/15

Y1 - 2011/1/15

N2 - If a soluble group G contains two finitely generated abelian subgroups A,B such that the number of double cosets AgB is finite, then G is shown to be virtually polycyclic. © 2009 Elsevier Inc.

AB - If a soluble group G contains two finitely generated abelian subgroups A,B such that the number of double cosets AgB is finite, then G is shown to be virtually polycyclic. © 2009 Elsevier Inc.

KW - Double cosets

KW - Soluble groups

UR - http://www.scopus.com/inward/record.url?scp=78649446502&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2009.04.010

DO - 10.1016/j.jalgebra.2009.04.010

M3 - Article

VL - 326

SP - 185

EP - 191

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 1

ER -