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On the monoid of singular braids

✍ Scribed by Antal Járai Jr

Book ID
104295453
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
110 KB
Volume
96
Category
Article
ISSN
0166-8641

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✦ Synopsis

We show that the singular braid monoid on 3 strands embeds in the integral group ring of the braid group proving a special case of a conjecture originating from J.S. Birman (1993). The statement is proven by developing general results connected to the conjecture, including an extension of Artin's braiding theorem to a special class of singular braids. We prove two corollaries which are also in strong connection with the conjecture and discuss the difficulties arising when the number of strands is greater than 3.

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