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 ΒΏ 2. The integer homology of Br(M; k) is also given.
β¦ LIBER β¦
Band-generator presentation for the 4-braid group
β Scribed by Eun Sook Kang; Ki Hyoung Ko; Sang Jin Lee
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 939 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
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