A word problem in Artin semigroups

✍ Scribed by Hikoe Enomoto; Hajime Mizutani; Norihide Tokushige

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 368 KB
• Volume: 104
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(92)90330-i

✦ Synopsis

The braid group, with generators 1, 2, . , n, has the presentation iji = jij if Ii -jl = 1, and ij=ji if Ii-jl>l.

In this paper, we prove that the two products P= 1 .3.5 ... and Q = 2 '4 '6. . satisfy PQPQ . . = QPQP . .