PARAMETRIZED SYMMETRIC GROUPS AND THE SECOND HOMOLOGY OF A GROUP

ST PETERSBURG MATHEMATICAL JOURNAL(2021)

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摘要
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(sic) S-n by H-2(G, Z). Motivation behind this construction is also discussed.
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关键词
Extensions of type H-n(G), amalgamated products, van Kampen theorem
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