A braid-like presentation of the integral Steinberg group of type \(C_2\) (Q2153345)

In this paper, it is shown that the Steinberg group \(\mathrm{St}(C_2,\mathbb{Z})\) 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. A new braid-like presentation of the symplectic modular group \(\mathrm{Sp}_4(\mathbb{Z})\) is also given as an application.