The structure group G of a non-degenerate symmetric set (X,S) is a Bieberbach and a Garside group. We describe a combinatorial method to compute explicitly a group of automorphisms of G and show this group admits a subgroup that preserves the Garside structure. In some special cases, we could also prove the group of automorphisms found is an outer automorphism group.
Bibliographical notePublisher Copyright:
© 2018, © 2018 Taylor & Francis.
- Bieberbach group
- Garside groups
- bijective cocycle
- group of automorphisms
- outer automorphism group
- quantum groups
- set-theoretical solution of the quantum Yang-Baxter equation
ASJC Scopus subject areas
- Algebra and Number Theory