Some remarks on twin groups

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DC Field	Value	Language
dc.contributor.author	Naik, T.K.	-
dc.contributor.author	Nanda, N.	-
dc.contributor.author	Singh, Mahender	-
dc.date.accessioned	2020-12-29T05:02:02Z	-
dc.date.available	2020-12-29T05:02:02Z	-
dc.date.issued	2020	-
dc.identifier.citation	Journal of Knot Theory and its Ramifications, 29(10).	en_US
dc.identifier.other	https://doi.org/10.1142/S0218216520420067	-
dc.identifier.uri	https://www.worldscientific.com/doi/abs/10.1142/S0218216520420067	-
dc.identifier.uri	http://hdl.handle.net/123456789/3434	-
dc.description.abstract	The twin group Tn is a right angled Coxeter group generated by n−1 involutions and having only far commutativity relations. These groups can be thought of as planar analogues of Artin braid groups. In this paper, we study some properties of twin groups whose analogues are well known for Artin braid groups. We give an algorithm for two twins to be equivalent under individual Markov moves. Further, we show that twin groups Tn have R∞-property and are not co-Hopfian for n≥3.	en_US
dc.language.iso	en	en_US
dc.publisher	World Scientific	en_US
dc.subject	Co-Hopfian	en_US
dc.subject	Right angled Coxeter groups	en_US
dc.subject	Twisted conjugacy class	en_US
dc.title	Some remarks on twin groups	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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