English

Some Remarks on the Braided Thompson Group BV

Group Theory 2008-07-02 v1

Abstract

Matthew Brin and Patrick Dehornoy independently discovered a braided version BV of Thompson's group V. In this paper, we discuss some properties of BV that might make the group interesting for group based cryptography. In particular, we show that BV does not admit a non-trivial linear representation.

Keywords

Cite

@article{arxiv.0807.0061,
  title  = {Some Remarks on the Braided Thompson Group BV},
  author = {Kai-Uwe Bux and Dmitriy Sonkin},
  journal= {arXiv preprint arXiv:0807.0061},
  year   = {2008}
}

Comments

17 pages, 7 figures

R2 v1 2026-06-21T10:56:13.359Z