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Not all free arrangements are K(pi, 1)
- Source :
- Bulletin, New Series, of the American Mathematical Society. Jan, 1995, Vol. 32 Issue 1, p61, 5 p.
- Publication Year :
- 1995
-
Abstract
- A family of hyperplane arrangements with one parameter contradicts K Saito's hypothesis that K(pi, 1) comprises the complexified complement of free arrangements. This conjecture comes from research into symmetric octagons and tilings. The generalization of supersolvable and Coxeter arrangements is a free arrangement. The braid arrangement A is K(pi, 1) where pi represents the pure braid group. Two theorems are presented, with sketched proofs.
- Subjects :
- Group theory -- Research
Mathematics
Subjects
Details
- ISSN :
- 02730979
- Volume :
- 32
- Issue :
- 1
- Database :
- Gale General OneFile
- Journal :
- Bulletin, New Series, of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- edsgcl.17566689