Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497115 | Journal of Pure and Applied Algebra | 2005 | 44 Pages |
Abstract
Starting from the observation that Thompson's groups F and V are the geometry groups respectively of associativity, and of associativity together with commutativity, we deduce new presentations of these groups. These presentations naturally lead to introducing a new subgroup S
- of V and a torsion free extension B
- of S
- . We prove that S
- and B
- are the geometry groups of associativity together with the law x(yz)=y(xz), and of associativity together with a twisted version of this law involving self-distributivity, respectively.
- of V and a torsion free extension B
- of S
- . We prove that S
- and B
- are the geometry groups of associativity together with the law x(yz)=y(xz), and of associativity together with a twisted version of this law involving self-distributivity, respectively.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Patrick Dehornoy,