A braid-like presentation of the integral Steinberg group of type $C_2$
Abstract
We show that the Steinberg group $\text{St}(C_2,{\mathbb Z})$ associated with the Lie type $C_2$ and with integer coefficients can be realized as a quotient of the braid group $B_6$ by one relation. As an application we give a new braid-like presentation of the symplectic modular group $\text{Sp}_4({\mathbb Z})$.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2020
- DOI:
- 10.48550/arXiv.2006.13574
- arXiv:
- arXiv:2006.13574
- Bibcode:
- 2020arXiv200613574K
- Keywords:
-
- Mathematics - Group Theory;
- Mathematics - K-Theory and Homology;
- 19C09;
- 20F05;
- 20F36 (Primary) 11E57;
- 20G30;
- 22E40 (Secondary)
- E-Print:
- 14 pages