Commutator subgroups of twin groups and Grothendieck's cartographical groups

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DC Field	Value	Language
dc.contributor.author	Dey, Soumya	-
dc.contributor.author	Gongopadhyay, Krishnendu	-
dc.date.accessioned	2020-11-20T05:41:57Z	-
dc.date.available	2020-11-20T05:41:57Z	-
dc.date.issued	2019	-
dc.identifier.citation	Journal of Algebra, 530, pp. 215-234.	en_US
dc.identifier.other	https://doi.org/10.1016/j.jalgebra.2019.04.006	-
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0021869319301875	-
dc.identifier.uri	http://hdl.handle.net/123456789/1949	-
dc.description.abstract	Let TWnbe the twin group on narcs, n ≥2, which is a right-angled Coxeter group. The group TWm+2is isomorphic to Grothendieck’s m-dimensional cartographical group Cm, m ≥1. In this paper we give a finite presentation for the commutator subgroup TW′m+2, and prove that TW′m+2has rank 2m −1. We derive that TW′m+2is free if and only if m ≤3.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.subject	Doodle	en_US
dc.subject	Twin group	en_US
dc.subject	Cartographical group	en_US
dc.subject	Combinatorial maps	en_US
dc.title	Commutator subgroups of twin groups and Grothendieck's cartographical groups	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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