Abstract:Let [Formula: see text] and [Formula: see text] be the unrestricted virtual braid group and the unrestricted virtual pure braid group on n strands, respectively. We study the groups [Formula: see text] and [Formula: see text], and our main results are as follows: for [Formula: see text], we give a complete description, up to conjugation, to all possible homomorphisms from [Formula: see text] to the symmetric group [Formula: see text]. For [Formula: see text], we characterize all possible images of [Formula: se… Show more
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