Abelian Galois Cohomology Of Reductive Groups PDF Download
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Author | : Mikhail Borovoi |
Publisher | : American Mathematical Soc. |
Total Pages | : 65 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 0821806505 |
Download Abelian Galois Cohomology of Reductive Groups Book in PDF, ePub and Kindle
In this volume, a new function H 2/ab (K, G) of abelian Galois cohomology is introduced from the category of connected reductive groups G over a field K of characteristic 0 to the category of abelian groups. The abelian Galois cohomology and the abelianization map ab1: H1 (K, G) -- H 2/ab (K, G) are used to give a functorial, almost explicit description of the usual Galois cohomology set H1 (K, G) when K is a number field
Author | : M. V. Borovoi |
Publisher | : |
Total Pages | : 162 |
Release | : 1989 |
Genre | : |
ISBN | : |
Download The algebraic fundamental group and Abelian Galois cohomology of reductive algebraic groups Book in PDF, ePub and Kindle
Author | : Luis Ribes |
Publisher | : Kingston, Ont., Queen's University |
Total Pages | : 336 |
Release | : 1970 |
Genre | : Finite groups |
ISBN | : |
Download Introduction to Profinite Groups and Galois Cohomology Book in PDF, ePub and Kindle
Author | : Grégory Berhuy |
Publisher | : Cambridge University Press |
Total Pages | : 328 |
Release | : 2010-09-09 |
Genre | : Mathematics |
ISBN | : 1139490885 |
Download An Introduction to Galois Cohomology and its Applications Book in PDF, ePub and Kindle
This is the first detailed elementary introduction to Galois cohomology and its applications. The introductory section is self-contained and provides the basic results of the theory. Assuming only a minimal background in algebra, the main purpose of this book is to prepare graduate students and researchers for more advanced study.
Author | : Klaus Haberland |
Publisher | : |
Total Pages | : 152 |
Release | : 1978 |
Genre | : Algebraic fields |
ISBN | : |
Download Galois Cohomology of Algebraic Number Fields Book in PDF, ePub and Kindle
Author | : Stephen Urban Chase |
Publisher | : American Mathematical Soc. |
Total Pages | : 87 |
Release | : 1969 |
Genre | : Commutative rings |
ISBN | : 0821812521 |
Download Galois Theory and Cohomology of Commutative Rings Book in PDF, ePub and Kindle
Author | : |
Publisher | : Academic Press |
Total Pages | : 289 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : 0080873464 |
Download Cohomology of groups Book in PDF, ePub and Kindle
Cohomology of Groups
Author | : Jean-Pierre Serre |
Publisher | : Springer Science & Business Media |
Total Pages | : 215 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 3642591418 |
Download Galois Cohomology Book in PDF, ePub and Kindle
This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.
Author | : Karl H. Hofmann |
Publisher | : Springer Science & Business Media |
Total Pages | : 235 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642806708 |
Download Cohomology Theories for Compact Abelian Groups Book in PDF, ePub and Kindle
Of all topological algebraic structures compact topological groups have perhaps the richest theory since 80 many different fields contribute to their study: Analysis enters through the representation theory and harmonic analysis; differential geo metry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again playa role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory. A particularly well understood subclass of compact groups is the class of com pact abelian groups. An added element of elegance is the duality theory, which states that the category of compact abelian groups is completely equivalent to the category of (discrete) abelian groups with all arrows reversed. This allows for a virtually complete algebraisation of any question concerning compact abelian groups. The subclass of compact abelian groups is not so special within the category of compact. groups as it may seem at first glance. As is very well known, the local geometric structure of a compact group may be extremely complicated, but all local complication happens to be "abelian". Indeed, via the duality theory, the complication in compact connected groups is faithfully reflected in the theory of torsion free discrete abelian groups whose notorious complexity has resisted all efforts of complete classification in ranks greater than two.
Author | : Stefaan Caenepeel |
Publisher | : CRC Press |
Total Pages | : 280 |
Release | : 2020-08-26 |
Genre | : Mathematics |
ISBN | : 1000103781 |
Download Brauer Groups and the Cohomology of Graded Rings Book in PDF, ePub and Kindle
This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.