A braidlike 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 braidlike presentation of the symplectic modular group $\text{Sp}_4({\mathbb Z})$.
 Publication:

arXiv eprints
 Pub Date:
 June 2020
 DOI:
 10.48550/arXiv.2006.13574
 arXiv:
 arXiv:2006.13574
 Bibcode:
 2020arXiv200613574K
 Keywords:

 Mathematics  Group Theory;
 Mathematics  KTheory and Homology;
 19C09;
 20F05;
 20F36 (Primary) 11E57;
 20G30;
 22E40 (Secondary)
 EPrint:
 14 pages