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Topics in Cohomology of Groups

 Taschenbuch
Besorgungstitel | Lieferzeit:3-5 Tage I
ISBN-13:
9783540611813
Einband:
Taschenbuch
Seiten:
227
Autor:
Serge Lang
Gewicht:
382 g
Format:
236x157x14 mm
Serie:
Vol.1625, Lecture Notes in Mathematics
Sprache:
Englisch
Beschreibung:

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.
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.

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.
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.
Autor: Serge Lang
ISBN-13:: 9783540611813
ISBN: 3540611819
Verlag: Springer, Berlin
Gewicht: 382g
Seiten: 227
Sprache: Englisch
Sonstiges: Taschenbuch, 236x157x14 mm, VI, 226 pp.