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math.GR2014
On Bousfield problem for the class of metabelian groups
Sergei O. Ivanov, Roman Mikhailov
The homological properties of localizations and completions of metabelian groups are studied. It is shown that, for or and a finitely presented metabe…
math.GR2014
Cohomology of finite groups without homological algebra
Sergei O. Ivanov, Nikolay N. Mostovsky
We prove explicit and elementary formulas for the group homology and cohomology of a finite group with coefficients in any module. We describe in elementary terms the cohomology al…