Groups with virtually abelian proper quotients

Martyn Quick

doi:10.1112/jlms/jdm014

Groups with virtually abelian proper quotients

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

Abstract

The just non-(virtually abelian) groups with non-trivial Fitting subgroup are classified. Particular attention is given to those which are virtually nilpotent and examples are given of the interesting phenomena that can occur.

Original language	English
Pages (from-to)	597-609
Number of pages	13
Journal	Journal of the London Mathematical Society
Volume	75
Issue number	3
DOIs	https://doi.org/10.1112/jlms/jdm014
Publication status	Published - Jun 2007

Keywords

INFINITE GROUPS
BRANCH GROUPS
FINITE

Access to Document

10.1112/jlms/jdm014

Cite this

@article{812de85a4b194192a2d47f934dab329b,

title = "Groups with virtually abelian proper quotients",

abstract = "The just non-(virtually abelian) groups with non-trivial Fitting subgroup are classified. Particular attention is given to those which are virtually nilpotent and examples are given of the interesting phenomena that can occur.",

keywords = "INFINITE GROUPS, BRANCH GROUPS, FINITE",

author = "Martyn Quick",

year = "2007",

month = jun,

doi = "10.1112/jlms/jdm014",

language = "English",

volume = "75",

pages = "597--609",

journal = "Journal of the London Mathematical Society",

issn = "0024-6107",

publisher = "Oxford University Press",

number = "3",

}

TY - JOUR

T1 - Groups with virtually abelian proper quotients

AU - Quick, Martyn

PY - 2007/6

Y1 - 2007/6

N2 - The just non-(virtually abelian) groups with non-trivial Fitting subgroup are classified. Particular attention is given to those which are virtually nilpotent and examples are given of the interesting phenomena that can occur.

AB - The just non-(virtually abelian) groups with non-trivial Fitting subgroup are classified. Particular attention is given to those which are virtually nilpotent and examples are given of the interesting phenomena that can occur.

KW - INFINITE GROUPS

KW - BRANCH GROUPS

KW - FINITE

UR - http://www.scopus.com/inward/record.url?scp=44649092091&partnerID=8YFLogxK

U2 - 10.1112/jlms/jdm014

DO - 10.1112/jlms/jdm014

M3 - Article

SN - 0024-6107

VL - 75

SP - 597

EP - 609

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

IS - 3

ER -

Groups with virtually abelian proper quotients

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this

Groups with virtually abelian proper quotients

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this