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- W1979185670 abstract "Abstract We define a notion of conjugacy in singular Artin moniods, and solve the corresponding conjugacy problem for finite types. We sgiw that this definition is appropriate to describe type (1) singular Markov moves on singular braids. Parabolic submonoids of singular Artin monoids are defined and, in finite type, are shown to be singular Artin monoids. Solutions to conjugacy-type problems of parabolic submonoids are described. Geometric objects defined by Fenn, Rolfsen and Zhu, called ( j, k )-bands, are algebraically characterised, and a procedure is given which determines when a word represents a ( j, k )-band." @default.
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- W1979185670 date "2005-10-01" @default.
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- W1979185670 title "Conjugacy in singular Artin monoids" @default.
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- W1979185670 doi "https://doi.org/10.1017/s1446788700010442" @default.
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