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Article Dans Une Revue Annales de l'Institut Fourier Année : 2020

Virtual braids and permutations

Résumé

Let VBn be the virtual braid group on n strands and let S-n be the symmetric group on n letters. Let n, m is an element of N such that n >= 5, m >= 2 and n >= m. We determine all possible homomorphisms from VBn to S-m from S-n to VBm and from VBn to VBm. As corollaries we get that Out(VBn) is isomorphic to Z/2Z x Z/2Z and that VBn is both, Hopfian and co-Hoan.

Dates et versions

hal-03028867 , version 1 (27-11-2020)

Identifiants

Citer

Paolo Bellingeri, Luis Paris. Virtual braids and permutations. Annales de l'Institut Fourier, 2020, 70 (3), pp.1341-1362. ⟨10.5802/aif.3336⟩. ⟨hal-03028867⟩
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