On cohomologies and extensions of cyclic groups |
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| Authors: | Marek Golasiński,Daciberg Lima Gonç alves |
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| Affiliation: | a Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
b Department of Mathematics - IME, University of São Paulo, Caixa Postal 66.281-AG, Cidade de São Paulo, 05314-970 São Paulo, Brazil |
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| Abstract: | Cohomology groups Hs(Zn,Zm) are studied to describe all groups up to isomorphism which are (central) extensions of the cyclic group Zn by the Zn-module Zm. Further, for each such a group the number of non-equivalent extensions is determined. |
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| Keywords: | primary, 20J06, 20K35 secondary, 18G15, 20K30 |
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