Parametrized symmetric groups and the second homology of a group

Abstract

We introduce the notion of a symmetric group parametrized by elements of a group. We show that this group is an extension of a certain subgroup of the wreath product $G\wr S_n$ by ${\mathrm{H}}_2(G,\mathbb{Z})$. We also discuss the motivation behind this construction.

References in corpus (1)

• Straight homotopy invariants