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arXiv · 1705.10912

Parametrized symmetric groups and the second homology of a group

Sergey Sinchuk
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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.

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Sergey Sinchuk. 2019-11-30. Parametrized symmetric groups and the second homology of a group. https://doi.org/10.1090/spmj%2F1685

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