Commutator subgroups of twin groups and Grothendieck's cartographical groups
| 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.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.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.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 |