Surjective homomorphisms between surface braid groups
Sign Up to like & getrecommendations! Published in 2019 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-019-1881-7
Abstract: Let PBn(Sg,p) be the pure braid group of a genus g > 1 surface with p punctures. In this paper we prove that any surjective homomorphism PBn(Sg,p) → PBm(Sg,p) factors through one of the forgetful… read more here.
Keywords: surjective homomorphisms; homomorphisms surface; surface; surface braid ... See more keywords
Multirobot Mixing via Braid Groups
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Robotics"
DOI: 10.1109/tro.2017.2737636
Abstract: This paper presents a framework for multirobot motion planning that characterizes pairwise interactions between agents, e.g., crossing paths while en route to a destination. Mixing is identified as the number of pairwise crossings exhibited by… read more here.
Keywords: motion; via braid; mixing via; multirobot mixing ... See more keywords
Virtual and universal braid groups, their quotients and representations
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Group Theory"
DOI: 10.1515/jgth-2021-0114
Abstract: Abstract 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 B n → GL n ( n… read more here.
Keywords: universal braid; groups quotients; quotients representations; braid groups ... See more keywords