Cat(0) extensions of right-angled coxeter groups

Charles Cunningham; Andy Eisenberg; Adam Piggott; Kim Ruane

Cat(0) extensions of right-angled coxeter groups

Charles Cunningham, Andy Eisenberg, Adam Piggott, Kim Ruane

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

Abstract

We show that any split extension of a right-angled Coxeter group W_T by a generating automorphism of finite order acts faithfully and geometrically on a CAT(0) metric space.

Original language	English
Pages (from-to)	277-287
Number of pages	11
Journal	Topology Proceedings
Volume	48
Publication status	Published - 2016
Externally published	Yes

Cite this

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title = "Cat(0) extensions of right-angled coxeter groups",

abstract = "We show that any split extension of a right-angled Coxeter group WT by a generating automorphism of finite order acts faithfully and geometrically on a CAT(0) metric space.",

keywords = "Automorphisms, CAT(0) extensions, CAT(0) groups, Coxeter groups",

author = "Charles Cunningham and Andy Eisenberg and Adam Piggott and Kim Ruane",

year = "2016",

language = "English",

volume = "48",

pages = "277--287",

journal = "Topology Proceedings",

issn = "0146-4124",

publisher = "Auburn University",

}

TY - JOUR

T1 - Cat(0) extensions of right-angled coxeter groups

AU - Cunningham, Charles

AU - Eisenberg, Andy

AU - Piggott, Adam

AU - Ruane, Kim

PY - 2016

Y1 - 2016

N2 - We show that any split extension of a right-angled Coxeter group WT by a generating automorphism of finite order acts faithfully and geometrically on a CAT(0) metric space.

AB - We show that any split extension of a right-angled Coxeter group WT by a generating automorphism of finite order acts faithfully and geometrically on a CAT(0) metric space.

KW - Automorphisms

KW - CAT(0) extensions

KW - CAT(0) groups

KW - Coxeter groups

UR - http://www.scopus.com/inward/record.url?scp=85085359252&partnerID=8YFLogxK

M3 - Article

SN - 0146-4124

VL - 48

SP - 277

EP - 287

JO - Topology Proceedings

JF - Topology Proceedings

ER -

Cat(0) extensions of right-angled coxeter groups

Abstract

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