Open Access
July 2013 A necessary condition for representatives of elements of Artin groups of dihedral type to be geodesic
Michihiko Fujii, Takao Satoh
Hiroshima Math. J. 43(2): 139-147 (July 2013). DOI: 10.32917/hmj/1372180509

Abstract

In this paper, we consider representatives of each element of Artin groups of finite type in terms of the standard Artin generator system $\Sigma$ and give a necessary condition for representatives of elements of Artin groups of finite type to be geodesic.

Citation

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Michihiko Fujii. Takao Satoh. "A necessary condition for representatives of elements of Artin groups of dihedral type to be geodesic." Hiroshima Math. J. 43 (2) 139 - 147, July 2013. https://doi.org/10.32917/hmj/1372180509

Information

Published: July 2013
First available in Project Euclid: 25 June 2013

zbMATH: 1277.20036
MathSciNet: MR3072949
Digital Object Identifier: 10.32917/hmj/1372180509

Subjects:
Primary: 20F05 , 20F10 , 20F36
Secondary: 68R15

Keywords: Artin group of finite type , Braid group , geodesic representative , growth series , representation

Rights: Copyright © 2013 Hiroshima University, Mathematics Program

Vol.43 • No. 2 • July 2013
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