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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Hopf formulas for equivariant integral homology of groups


Authors: Hvedri Inassaridze and Emzar Khmaladze
Journal: Proc. Amer. Math. Soc. 138 (2010), 3037-3046
MSC (2010): Primary 18G10, 18G50
Published electronically: April 21, 2010
MathSciNet review: 2653928
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Abstract: By using purely algebraic methods of $ n$-fold Čech derived functors, the higher equivariant integral group homology is investigated from the Hopf formulas point of view.


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Hvedri Inassaridze
Affiliation: Department of Algebra, A. Razmadze Mathematical Institute, M. Alexidze St. 1, 0193 Tbilisi, Georgia – and – Tbilisi Centre for Mathematical Sciences, Tbilisi, Georgia
Email: hvedri@rmi.acnet.ge

Emzar Khmaladze
Affiliation: Department of Algebra, A. Razmadze Mathematical Institute, M. Alexidze St. 1, 0193 Tbilisi, Georgia – and – Tbilisi Centre for Mathematical Sciences, Tbilisi, Georgia
Email: khmal@rmi.acnet.ge

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10381-5
PII: S 0002-9939(10)10381-5
Keywords: Hopf formula, equivariant homology, cotriple homology, projective simplicial resolution, crossed $n$-cube, \v {C}ech derived functor.
Received by editor(s): July 10, 2009
Published electronically: April 21, 2010
Additional Notes: The authors were supported by the Volkswagen Foundation, Ref.: I/84 328, INTAS, Ref.: 06-1000017-8609; and the Georgian National Science Foundation, Ref.: ST06/3-004.
Communicated by: Alexander N. Dranishnikov
Article copyright: © Copyright 2010 American Mathematical Society