REPRESENTING BRAIDS BY AUTOMORPHISMS
نویسندگان
چکیده
منابع مشابه
Representing Braids by Automorphisms
Based on a normal form for braid group elements suggested by Dehornoy, we prove several representations of braid groups by automorphisms of a free group to be faithful. This includes a simple proof of the standard Artin's representation being faithful.
متن کاملRepresenting Homology Automorphisms of Nonorientable Surfaces
In this paper, we prove that every automorphism of the first homology group of a closed, connected, nonorientable surface which preserves the associated Z2-valued intersection pairing is induced by a diffeomorphism of this surface. 0. Introduction It is well known that the diffeomorphisms on a closed, connected, orientable surface of genus g, Mg, induce the full group of automorphisms of H1(Mg,...
متن کاملFolding by Automorphisms
Let Φ be a simply-laced root system with simple roots ∆ = {αi : i ∈ I} embedded in the real vector space V with inner product 〈·,·〉. For convenience, we may assume that the roots have been normalized so that 〈α, α〉 = 2 for all α ∈ Φ. As a second convenience, we may assume that V has been enlarged, if necessary, so that 〈·,·〉 is nondegenerate on V . Now let σ be a diagram automorphism of (Φ,∆). ...
متن کاملVirtual Braids
Just as classical knots and links can be represented by the closures of braids, so can virtual knots and links be represented by the closures of virtual braids [16]. Virtual braids have a group structure that can be described by generators and relations, generalizing the generators and relations of the classical braid group. This structure of virtual braids is worth study for its own sake. The ...
متن کاملVector Braids
In this paper we deene a new family of groups which generalize the classical braid groups on C. We denote this family by fB m n g nm+1 where n; m 2 N. The family fB 1 n g n2N is the set of classical braid groups on n strings. The group B m n is the set of motions of n unordered points in C m , so that at any time during the motion, each m + 1 of the points span the whole of C m as an aane space...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2001
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196701000760