Topics in cohomology of groups
著者
書誌事項
Topics in cohomology of groups
（Lecture notes in mathematics, 1625）
Springer, c1996
- タイトル別名
-
Rapport sur la cohomologie des groupes
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注記
Includes bibliographical references (p. [217]-219), table of notation and index
"The first part of this book was originally published in French with the title 'Rapport sur la cohomologie des groupes' by Benjamin Inc., New York, 1996. It was translated into English by the author for this edition. The last part (pp. 188-215) is new to this edition."--T.p. verso
内容説明・目次
内容説明
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.
目次
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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