Topics in Cohomology of Groups: 1625 - Brossura

Lang, Serge

 
9783540611813: Topics in Cohomology of Groups: 1625

Sinossi

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.

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Contenuti

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.

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Altre edizioni note dello stesso titolo

9780387611815: Topics in Cohomology of Groups

Edizione in evidenza

ISBN 10:  0387611819 ISBN 13:  9780387611815
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