The lower algebraic $K$-theory of virtually cyclic subgroups of the braid groups of the sphere and of $\mathbb{Z}[B\_4({\mathbb{S}}^2)]$

John Guaschi, Daniel Juan-Pineda, Silvia Millán-López

We study $K$-theoretical aspects of the braid groups $B\_n({\mathbb{S}}^2)$ on $n$ strings of the $2$-sphere, which by results of the second two authors, are known to satisfy the F…