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On the injectivity of the Vassiliev homomorphism of singular Artin monoids

Published online by Cambridge University Press:  17 April 2009

Noelle Antony
Noelle Antony
Affiliation:
School of Mathematics and Statistics, University of Sydney, New South Wales 2006, Australia.
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I prove general combinatorial properties which apply to singular Artin monoids and examine their relationship with the Vassiliev homomorphism ≠. I show that ≠ preserves the Intermediate Property, discovered by Corran, which holds in positive singular Artin monoids of finite type. From this it follows that ≠ is injective for a class of monoids which include singular Artin monoids of type I2(p), generalising a result of East.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 401 - 422
Copyright
Copyright © Australian Mathematical Society 2004

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