Topics in cohomology of groups
Author(s)
Bibliographic Information
Topics in cohomology of groups
（Lecture notes in mathematics, 1625）
Springer, c1996
- Other Title
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Rapport sur la cohomologie des groupes
Available at / 103 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1625RM960904
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Note
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
Description and Table of Contents
Description
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.
Table of Contents
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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