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  • Cited by 4
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Inassaridze, N. 2016. Some Aspects of Homotopic Algebra and Non-Abelian (CO)Homology Theories. Journal of Mathematical Sciences, Vol. 213, Issue. 1, p. 1.


    Janelidze, George 2014. To Professor Hvedri Inassaridze’s 80th birthday. Journal of Homotopy and Related Structures, Vol. 9, Issue. 1, p. 1.


    Khmaladze, E. 2013. On non-Abelian Leibniz cohomology. Journal of Mathematical Sciences, Vol. 195, Issue. 4, p. 481.


    Casas, José Manuel Khmaladze, Emzar and Ladra, Manuel 2011. Low-dimensional non-abelian Leibniz cohomology. Forum Mathematicum, p. -.


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Higher non-abelian cohomology of groups

  • Hvedri Inassaridze (a1)
  • DOI: http://dx.doi.org/10.1017/S0017089502030148
  • Published online: 26 February 2003
Abstract

The first non-abelian cohomology of groups introduced by Guin is extended to any dimensions and for a substantially wider class of coefficients called G-partially crossed P-modules. The first and the second non-abelian cohomologies of groups are described in terms of torsors and extensions of groups respectively. Higher non-abelian cohomology pointed sets are described in terms of cotriple right derived functors of the group of derivations with respect to the first contravariant variable. For any short exact coefficient sequence a long exact cohomology sequence is obtained extending the well-known exact cohomology sequences and higher cohomology of groups with coefficients in any G-group is introduced.

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Glasgow Mathematical Journal
  • ISSN: 0017-0895
  • EISSN: 1469-509X
  • URL: /core/journals/glasgow-mathematical-journal
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