English

Parametrized symmetric groups and the second homology of a group

Group Theory 2022-11-09 v2

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 GSnG \wr S_n by H2(G,Z)\mathrm{H}_2(G, \mathbb{Z}). We also discuss the motivation behind this construction.

Keywords

Cite

@article{arxiv.1705.10912,
  title  = {Parametrized symmetric groups and the second homology of a group},
  author = {Sergey Sinchuk},
  journal= {arXiv preprint arXiv:1705.10912},
  year   = {2022}
}