A new presentation for the 4-braid group (called the band-generator presentation) is introduced. The word problem, the conjugacy problem and the shortest word problem for this presentation are solved.
On the braid groups for the Möbius Band
✍ Scribed by Jeffrey H. Wang
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 173 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0022-4049
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
In this paper, a formula is given for the Mo bius number +(1, S n ) of the subgroup lattice of the symmetric group S n . This formula involves the Mo bius numbers of certain transitive subgroups of S n . When n has at most two (not necessarily distinct) prime factors or n is a power of two, this for
We give some new invariant characteristic properties of Mobius transformations by means of their mapping properties.
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