Hurwitz Equivalence in the Braid Group B3
نویسندگان
چکیده
منابع مشابه
Graph Theoretic Method for Determining non- Hurwitz Equivalence in the Braid Group and Symmetric group
Motivated by the problem of Hurwitz equivalence of ∆ factorization in the braid group, we address the problem of Hurwitz equivalence in the symmetric group, obtained by projecting the ∆ factorizations into Sn. We get 1Sn factorizations with transposition factors. Looking at the transpositions as the edges in a graph, we show that two factorizations are Hurwitz equivalent if and only if their gr...
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In this paper we prove certain Hurwitz equivalence properties in the braid group. Our main result is that every two factorizations of ∆n where the elements of the factorization are semi-frame are Hurwitz equivalent. The results of this paper are generalization of the results in [8]. We use a new presentation of the braid group, called the Birman-Ko-Lee presentation, to define the semi-frame str...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2003
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196703001389