Group G_{n}^{3} and imaginary generators
Geometric Topology
2016-12-13 v1
Abstract
In the present paper, we construct a monomorphism from (Artin) pure braid group into a group, which is `bigger' than . Roughly speaking, this mapping is defined on words of braids by adding `new generators' between generators of . By this mapping we can get a new invariant for classical braids. As one of application of this invariant, we will show examples, which are minimal words in and the minimality can be shown by the invariant.
Cite
@article{arxiv.1612.03486,
title = {Group G_{n}^{3} and imaginary generators},
author = {S. Kim and V. O. Manturov},
journal= {arXiv preprint arXiv:1612.03486},
year = {2016}
}