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 ${\text{Sp}}_4(\mathbb{Z})$.

14 pages

References in corpus (1)

• On an action of the braid group B_{2g+2} on the free group F_{2g}

Cited by in corpus (1)

• Braid groups and symplectic Steinberg groups