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Abelian Galois Cohomology Of Reductive Groups
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Book Synopsis Abelian Galois Cohomology of Reductive Groups by : Mikhail Borovoi
Download or read book Abelian Galois Cohomology of Reductive Groups written by Mikhail Borovoi and published by American Mathematical Soc.. This book was released on 1998 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The algebraic fundamental group and Abelian Galois cohomology of reductive algebraic groups by : M. V. Borovoi
Download or read book The algebraic fundamental group and Abelian Galois cohomology of reductive algebraic groups written by M. V. Borovoi and published by . This book was released on 1989 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Galois Cohomology and its Applications by : Grégory Berhuy
Download or read book An Introduction to Galois Cohomology and its Applications written by Grégory Berhuy and published by Cambridge University Press. This book was released on 2010-09-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cohomology of Groups by : Edwin Weiss
Download or read book Cohomology of Groups written by Edwin Weiss and published by . This book was released on 1969 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Galois Cohomology by : Jean-Pierre Serre
Download or read book Galois Cohomology written by Jean-Pierre Serre and published by Springer Science & Business Media. This book was released on 2001-10-23 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Galois Theory and Cohomology of Commutative Rings by : Stephen Urban Chase
Download or read book Galois Theory and Cohomology of Commutative Rings written by Stephen Urban Chase and published by American Mathematical Soc.. This book was released on 1969 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Toroidal Groups written by Yukitaka Abe and published by Springer. This book was released on 2003-07-01 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Toroidal groups are the connecting link between torus groups and any complex Lie groups. Many properties of complex Lie groups such as the pseudoconvexity and cohomology are determined by their maximal toroidal subgroups. Quasi-Abelian varieties are meromorphically separable toroidal groups. They are the natural generalisation of the Abelian varieties. Nevertheless, their behavior can be completely different as the wild groups show.
Book Synopsis Brauer Groups and the Cohomology of Graded Rings by : Caenepeel
Download or read book Brauer Groups and the Cohomology of Graded Rings written by Caenepeel and published by CRC Press. This book was released on 1988 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cohomology Theories for Compact Abelian Groups by : Karl H. Hofmann
Download or read book Cohomology Theories for Compact Abelian Groups written by Karl H. Hofmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Galois Cohomology of Algebraic Number Fields by : Klaus Haberland
Download or read book Galois Cohomology of Algebraic Number Fields written by Klaus Haberland and published by . This book was released on 1978 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Cohomology of Groups by : Serge Lang
Download or read book Topics in Cohomology of Groups written by Serge Lang and published by Springer Science & Business Media. This book was released on 1996-08-19 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Profinite Groups and Galois Cohomology by : Luis Ribes
Download or read book Introduction to Profinite Groups and Galois Cohomology written by Luis Ribes and published by Kingston, Ont., Queen's University. This book was released on 1970 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Abelian Groups written by Laszlo Fuchs and published by CRC Press. This book was released on 2022-01-27 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains information offered at the international conference held in Curacao, Netherlands Antilles. It presents the latest developments in the most active areas of abelian groups, particularly in torsion-free abelian groups.;For both researchers and graduate students, it reflects the current status of abelian group theory.;Abelian Groups discusses: finite rank Butler groups; almost completely decomposable groups; Butler groups of infinite rank; equivalence theorems for torsion-free groups; cotorsion groups; endomorphism algebras; and interactions of set theory and abelian groups.;This volume contains contributions from international experts. It is aimed at algebraists and logicians, research mathematicians, and advanced graduate students in these disciplines.
Book Synopsis Etale Cohomology Theory (Revised Edition) by : Lei Fu
Download or read book Etale Cohomology Theory (Revised Edition) written by Lei Fu and published by World Scientific. This book was released on 2015-02-27 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and ℓ-adic cohomology. The prerequisites for reading this book are basic algebraic geometry and advanced commutative algebra.
Book Synopsis Gröbner Bases and the Computation of Group Cohomology by : David J. Green
Download or read book Gröbner Bases and the Computation of Group Cohomology written by David J. Green and published by Springer Science & Business Media. This book was released on 2003-11-18 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops the Gröbner basis methods needed to perform efficient state of the art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. The context is J. F. Carlson’s minimal resolutions approach to cohomology computations.
Book Synopsis Real and Etale Cohomology by : Claus Scheiderer
Download or read book Real and Etale Cohomology written by Claus Scheiderer and published by Springer. This book was released on 2006-11-15 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes a systematic study of the relations between the étale cohomology of a scheme and the orderings of its residue fields. A major result is that in high degrees, étale cohomology is cohomology of the real spectrum. It also contains new contributions in group cohomology and in topos theory. It is of interest to graduate students and researchers who work in algebraic geometry (not only real) and have some familiarity with the basics of étale cohomology and Grothendieck sites. Independently, it is of interest to people working in the cohomology theory of groups or in topos theory.
Book Synopsis Abelianization of the Second Non-Abelian Galois Cohomology by : Mikhail V. Borovoi
Download or read book Abelianization of the Second Non-Abelian Galois Cohomology written by Mikhail V. Borovoi and published by . This book was released on 1991 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
