Palindromic braids

Florian Deloup; David Garber; Shmuel Kaplan; Mina Teicher

doi:10.4310/AJM.2008.v12.n1.a5

Palindromic braids

Florian Deloup, David Garber, Shmuel Kaplan, Mina Teicher

Department of Mathematics

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

6 Scopus citations

Abstract

The braid group B_n, endowed with Artin's presentation, admits an antiautomorphism B_n ← B_n, such that v v̄ is defined by reading braids in reverse order (from right to left instead of left to right). We prove that the map B_n ← B_n, v vv̄ is injective. We also give some consequences arising due to this injectivity.

Original language	English
Pages (from-to)	65-72
Number of pages	8
Journal	Asian Journal of Mathematics
Volume	12
Issue number	1
DOIs	https://doi.org/10.4310/AJM.2008.v12.n1.a5
State	Published - Mar 2008

Keywords

Braid
Garside
Jacquemard
Palindrome

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10.4310/AJM.2008.v12.n1.a5

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title = "Palindromic braids",

abstract = "The braid group Bn, endowed with Artin's presentation, admits an antiautomorphism Bn ← Bn, such that v {\=v} is defined by reading braids in reverse order (from right to left instead of left to right). We prove that the map Bn ← Bn, v v{\=v} is injective. We also give some consequences arising due to this injectivity.",

keywords = "Braid, Garside, Jacquemard, Palindrome",

author = "Florian Deloup and David Garber and Shmuel Kaplan and Mina Teicher",

year = "2008",

month = mar,

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AU - Garber, David

AU - Kaplan, Shmuel

AU - Teicher, Mina

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KW - Garside

KW - Jacquemard

KW - Palindrome

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Palindromic braids

Abstract

Keywords

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