Abstract commensurators of braid groups

Christopher J. Leininger; Dan Margalit

doi:10.1016/j.jalgebra.2005.09.015

Abstract commensurators of braid groups

Christopher J. Leininger, Dan Margalit

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

Abstract

Let B_n be the braid group on n {greater than or slanted equal to} 4 strands. We show that the abstract commensurator of B_n is isomorphic to Mod ( S ) ⋉ ( Q^× ⋉ Q^∞ ), where Mod ( S ) is the extended mapping class group of the sphere with n + 1 punctures.

Original language	English (US)
Pages (from-to)	447-455
Number of pages	9
Journal	Journal of Algebra
Volume	299
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2005.09.015
State	Published - May 15 2006
Externally published	Yes

Keywords

Abstract commensurator
Braid group

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

10.1016/j.jalgebra.2005.09.015

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title = "Abstract commensurators of braid groups",

abstract = "Let Bn be the braid group on n {greater than or slanted equal to} 4 strands. We show that the abstract commensurator of Bn is isomorphic to Mod ( S ) ⋉ ( Q× ⋉ Q∞ ), where Mod ( S ) is the extended mapping class group of the sphere with n + 1 punctures.",

keywords = "Abstract commensurator, Braid group",

author = "Leininger, {Christopher J.} and Dan Margalit",

note = "Funding Information: Both authors are supported by NSF postdoctoral fellowships. Corresponding author. E-mail addresses: clein@math.uiuc.edu (C.J. Leininger), margalit@math.utah.edu (D. Margalit).",

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AU - Margalit, Dan

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Y1 - 2006/5/15

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AB - Let Bn be the braid group on n {greater than or slanted equal to} 4 strands. We show that the abstract commensurator of Bn is isomorphic to Mod ( S ) ⋉ ( Q× ⋉ Q∞ ), where Mod ( S ) is the extended mapping class group of the sphere with n + 1 punctures.

KW - Abstract commensurator

KW - Braid group

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JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Abstract commensurators of braid groups

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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