TY  - BOOK
AU  - Lang,Serge
ED  - SpringerLink (Online service)
TI  - Topics in Cohomology of Groups
T2  - Lecture Notes in Mathematics,
SN  - 9783540683377
AV  - QA174-183 
U1  - 512.2 23
PY  - 1996///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Group theory
KW  - K-theory
KW  - Group Theory and Generalizations
KW  - K-Theory
N1  - Existence and uniqueness -- Relations with subgroups -- Cohomological triviality -- Cup products -- Augmented products -- Spectral sequences -- Groups of galois type -- Group extensions -- Class formations -- Applications of Galois cohomology in algebraic geometry
N2  - The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s, originally written as background for the Artin-Tate notes on class field theory, following the cohomological approach. This report was first published (in French) by Benjamin. For this new English edition, the author added Tate's local duality, written up from letters which John Tate sent to Lang in 1958 - 1959. Except for this last item, which requires more substantial background in algebraic geometry and especially abelian varieties, the rest of the book is basically elementary, depending only on standard homological algebra at the level of first year graduate students
UR  - http://dx.doi.org/10.1007/BFb0092624
ER  -