虚拟辫子和排列

P. Bellingeri, L. Paris
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引用次数: 8

摘要

让VB_n成为strands的虚拟braid小组,让我们成为symmetric小组的n信件。让n, m∈n如此那n≥5,n≥2和≥m。我们都个重大可能homomorphisms从VB_n到S_m,从S_n到VB_m和从VB_n到VB_m。当我们把它拿出来的时候(VB_n)和克莱因集团是孤立的,VB_n都是Hopfian和co hofpian。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Virtual braids and permutations
Let VB_n be the virtual braid group on n strands and let S_n be the symmetric group on n letters. Let n, m ∈ N such that n ≥ 5, m ≥ 2 and n ≥ m. We determine all possible homomorphisms from VB_n to S_m , from S_n to VB_m and from VB_n to VB_m. As corollaries we get that Out(VB_n) is isomorphic to the Klein group and that VB_n is both Hopfian and co-Hofpian.
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