2004Fundamenta MathematicaeOpen access

The virtual and universal braids

Valerij G. Bardakov

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Abstract

We study the structure of the virtual braid group. It is shown that the virtual braid group is a semi-direct product of the virtual pure braid group and the symmetric group. Also, it is shown that the virtual pure braid group is a semi-direct product of f

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What this paper is about

We study the structure of the virtual braid group. It is shown that the virtual braid group is a semi-direct product of the virtual pure braid group and the symmetric group. Also, it is shown that the virtual pure braid group is a semi-direct product of f

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Available abstract

We study the structure of the virtual braid group. It is shown that the virtual braid group is a semi-direct product of the virtual pure braid group and the symmetric group. Also, it is shown that the virtual pure braid group is a semi-direct product of f

Key concepts: Braid group, Braid, Braid theory, Mathematics, Direct product, Group (periodic table), Product (mathematics), Pure mathematics

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