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Author Saito, Kyoji ♦ Ishibe, Tadashi
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-11-17
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Group Theory ♦ Mathematics - Geometric Topology ♦ math
Abstract We study monoids generated by Zariski-van Kampen generators in the 17 fundamental groups of the complement of logarithmic free divisors in C^3 listed by Sekiguchi (Theorem 1). Five of them are Artin monoids and eight of them are free abelian monoids. The remaining four monoids are not Gaussian and, hence, are neither Garside nor Artin (Theorem 2). However, we introduce, similarly to Artin monoids, fundamental elements and show their existence (Theorem 3). One of the four non-Gaussian monoids satisfies the cancellation condition (Theorem 4).
Educational Use Research
Learning Resource Type Article
Page Count 28


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