Geodesic
Parametrized symmetric groups and the second homology of a group
Algebra i analiz, Tome 32 (2020) no. 6, pp. 147-163.

Voir la notice de l'article provenant de la source Math-Net.Ru

The notion of a symmetric group parametrized by elements of a group is introduced. It is shown that this group is an extension of a subgroup of the wreath product $G \wr S_n$ by $\mathrm{H}_2(G, \mathbb{Z})$. Motivation behind this construction is also discussed.
Keywords: extensions of type $\mathfrak{H}_n(G)$, amalgamated products, van Kampen theorem. 
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     title = {Parametrized symmetric groups and the second homology of a group},
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S. Sinchuk. Parametrized symmetric groups and the second homology of a group. Algebra i analiz, Tome 32 (2020) no. 6, pp. 147-163. http://geodesic.mathdoc.fr/item/AA_2020_32_6_a6/

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