Open Access
Translator Disclaimer
2005 More about the (co)homology of groups and associative algebras
Hvedri Inassaridze
Homology Homotopy Appl. 7(1): 87-108 (2005).


It is proved that the homology and cohomology theories of groups and associative algebras are non-abelian derived functors of the cokernel and kernel groups of higher dimensions of their defining standard chain and cochain complexes respectively. The same results are also obtained for the relative (co)homology of groups, the mod q cohomology of groups and the cohomology of groups with operators. This allowed us to give an alternative approach to higher Hopf formulas for integral homology of groups. An axiomatic characterization of the relative cohomology of groups is given and higher relative $(n+1)$-th cohomology of groups is described in terms of n-fold extensions.


Download Citation

Hvedri Inassaridze. "More about the (co)homology of groups and associative algebras." Homology Homotopy Appl. 7 (1) 87 - 108, 2005.


Published: 2005
First available in Project Euclid: 13 February 2006

zbMATH: 1080.18008
MathSciNet: MR2155520

Primary: 18G10
Secondary: 18G25 , 18G50 , 18G55

Rights: Copyright © 2005 International Press of Boston


Vol.7 • No. 1 • 2005
Back to Top