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- W2039987366 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." @default.
- W2039987366 created "2016-06-24" @default.
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- W2039987366 date "2002-09-01" @default.
- W2039987366 modified "2023-09-26" @default.
- W2039987366 title "Higher non-abelian cohomology of groups" @default.
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- W2039987366 doi "https://doi.org/10.1017/s0017089502030148" @default.
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