Abstract commensurators of braid groups

Simple item page
dc.creatorLeininger, Christopher J.
dc.creatorMargalit, Dan
dc.date2005-01-26
dc.date.accessioned2026-07-07T05:16:26Z
dc.date.available2026-07-07T05:16:26Z
dc.descriptionLet B_n be the braid group on n strands, with n at least 4, and let Mod(S) be the extended mapping class group of the sphere with n+1 punctures. We show that the abstract commensurator of B_n is isomorphic to a semidirect product of Mod(S) with a group we refer to as the transvection subgroup, Tv(B_n). We also show that Tv(B_n) is itself isomorphic to a semidirect product of an infinite dimensional rational vector space with the multiplicative group of nonzero rational numbers.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0501480
dc.identifierhttp://arxiv.org/abs/math/0501480
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73990
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F36; 20F28
dc.titleAbstract commensurators of braid groups
dc.typetext

Files

Collections

arXiv