In the present paper, we study structural aspects of certain quotients of braid groups and virtual braid groups. In particular, we construct and study linear representations, which are connectedwith the famous Lawrence–Bigelow–Krammer representation. It turnsout that these representations induce faithful representations of the crystallographic groups, respectively. Using the serepresentations we study certain properties of the groups. Moreover, we construct new representations and decompositions of the universal braid groups.
839 Visitors
842 Hits
2 Downloads
