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Catalogue Information
Field name	Details
Dewey Class	512.2
Title	Topics in Cohomology of Groups ([EBook]) / by Serge Lang.
Author	Lang, Serge. , 1927-2005
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1996.
Physical Details	VI, 227 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1625
ISBN	9783540683377
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0092624
Links to Related Works	Subject References: Group theory . Group Theory and Generalizations . K-Theory . Mathematics . Authors: Lang, Serge. 1927-2005 . Lang, Serge, 1927-2005. . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.2 .

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Topics in Cohomology of Groups

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