A normal form for a class of monoids including the singular braid monoids


Ruth Corran


Research Report 99-3
Date: January 1999


The first part of this paper investigates a class of homogeneously presented monoids. Constructions which enable division and multiplication to be computed are described. The word problem and the division problem are solved, and a unique normal form is given for monoids in this class.

The second part deals with the motivating examples of this class - the positive singular Artin monoids. Finally, the singular Artin monoids are introduced. The word and division problems are solved for all singular Artin monoids of finite type, including, for example, the singular braid monoids introduced by Baez and Birman.

Key phrases

singular braid monoids. word problem.

AMS Subject Classification (1991)

Primary: 20M05, 20F36
Secondary: 57M25, 20F10


The paper is available in the following forms:
TeX dvi format:
1999-3.dvi.gz (39kB) or 1999-3.dvi (104kB)

1999-3.ps.gz (83kB) or 1999-3.ps (277kB)

To minimize network load, please choose the smaller gzipped .gz form if and only if your browser client supports it.

Sydney Mathematics and Statistics