𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the linearity of Artin braid groups

✍ Scribed by François Digne


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
263 KB
Volume
268
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Some subgroups of Artin's braid group
✍ Sandro Manfredini 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 686 KB

Let ~3,~ be the braid group on n strings and let q5 : %n -+ S,~ be the standard homomorphism of ~3,~ onto the group of permutations of the set {1,..., n}. In this paper the author calculates, using the Reidemeister-Schreier method, a presentation for the subgroups ~,~,p of ~3n whose image ~,(~3n,p)

On the Σ-invariants of Artin groups
✍ John Meier; Holger Meinert; Leonard VanWyk 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 116 KB

We use the action of an Artin group on its associated Deligne complex (as defined by Charney and Davis) to give information about the Σ-invariants of Artin groups. This gives a nearly complete description of the finiteness properties of normal subgroups above the commutator subgroup of an Artin grou

On the structure of surface pure braid g
✍ D.L. Gonçalves; J. Guaschi 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 347 KB

We describe some of the properties of the pure braid groups of surfaces di erent from S 2 and RP 2 . In the case of compact, connected, orientable surfaces without boundary and of genus at least two, we give a necessary and su cient condition for the splitting of the pure braid group exact sequence

On the braid groups for the Möbius Band
✍ Jeffrey H. Wang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 173 KB

In this note, we consider the topological and homological properties of braid groups for the M obius Band M. We show that there is an isomorphism as algebras where F denotes either Q or Fp with p ¿ 2. The integer homology of Br(M; k) is also given.