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- W2068222299 abstract "In the symmetric group Sn, we introduced the notion of crossing and linking numbers to each permutation. Then a unique factorization of a permutation is given due to its crossing number of its factors and how the factors are linked. Consequently we introduced a matrix associated to each permutation, which we used it as a tool to prove that positive braids with different matrices are not conjugate braids. Up to n≤5 it is proved that two positive permutation braids are conjugate if and only if they have the same matrix, and a complete calculation of these matrices with the associated link type is given." @default.
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- W2068222299 date "2004-05-01" @default.
- W2068222299 modified "2023-10-18" @default.
- W2068222299 title "ON THE CONJUGACY PROBLEM OF POSITIVE BRAIDS" @default.
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- W2068222299 doi "https://doi.org/10.1142/s0218216504003160" @default.
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