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Topic: Brauer group


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In the News (Wed 30 May 12)

  
  Brauer biography
Brauer was no exception to this, although he made only one visit during his studies, that being for a term to the University of Freiburg.
Brauer was from a Jewish family so was dismissed from his post under the Nazi legislation which removed all Jewish university teachers from their posts.
Brauer carried Frobenius's theory of ordinary characters (where the characteristic of the field does not divide the order of the group) to the case of modular characters (where the characteristic does divide the group order).
www-groups.dcs.st-and.ac.uk /~history/Biographies/Brauer.html   (2239 words)

  
  Brauer group - Encyclopedia, History, Geography and Biography
The Brauer group for an algebraically closed field or a finite field is the trivial group with only the identity element.
The Brauer group Br(R) of the real number field R is a cyclic group of order two: there are just two types of division algebra, R and the quaternion algebra H.
In the further theory, the Brauer groups of local fields are computed (they all turn out to be canonically isomorphic to Q/Z, for p-adic fields); and the results applied to global fields.
www.arikah.com /encyclopedia/Brauer_group   (646 words)

  
 NationMaster - Encyclopedia: Brauer group
In group theory, a cyclic group is a group that can be generated by a single element, in the sense that the group has an element a (called a generator of the group) such that, when written multiplicatively, every element of the group is a power of a.
In the further theory, the Brauer groups of local fields are computed (they all turn out to be subgroups of Q/Z, for p-adic fields); and the results applied to global fields.
In the general theory the Brauer group is expressed by factor sets; and expressed in terms of Galois cohomology via In mathematics, Galois cohomology is the study of the group cohomology of Galois modules, that is, the application of homological algebra to modules for Galois groups.
www.nationmaster.com /encyclopedia/Brauer-group   (1347 words)

  
 PlanetMath: Brauer group
is naturally isomorphic to the second Galois cohomology group
Cross-references: group, Galois cohomology, operation, multiplication, order, inverse, class, identity element, product, tensor product, group operation, matrices, ring, isomorphic, natural numbers, division ring, equivalent, central simple algebras, equivalence classes, field
This is version 8 of Brauer group, born on 2001-10-19, modified 2004-04-15.
planetmath.org /encyclopedia/BrauerGroup.html   (123 words)

  
 Brauer (print-only)
In 1949 Brauer was awarded the Cole Prize from the American Mathematical Society for his paper On Artin's L-series with general group characters which he published in the Annals of Mathematics in 1947.
He began to formulate a method to classify all finite simple groups and his first step on this road was a group-theoretical characterisation of the simple groups PSL(2,q) in 1951 (although for a complicated number of reasons explained in [6] and [1] this did not appear in print until 1958).
Green in [6] points out that when Brauer went to Harvard he was 51 years old, yet almost half his total of 147 publications were published after this date.
www-groups.dcs.st-and.ac.uk /~history/Printonly/Brauer.html   (2083 words)

  
 php-deluxe.net - description Brauer group
In mathematics, the Brauer group arose out of an attempt to classify division algebras over a given field (mathematics) K.
It is an abelian group with elements Isomorphism classes of division algebras over K, such that the center of an algebra is exactly K.
To get a group, apply the Artin-Wedderburn theorem (Joseph Wedderburn s part, in fact), to express any CSA as M(n,D), an n × n matrix ring over a division algebra D. If we look just at D, rather than the value of n, the monoid becomes a group.
www.php-deluxe.net /encyclopedia,index.page,Brauer-group.htm   (461 words)

  
 Fred Brauer   (Site not responding. Last check: 2007-10-26)
Brauer, C. Castillo - Chavez, & J. Velasco - Hernandez, Recruitment into a core group and its effect on the spread of a sexually transmitted disease, Proceeedings of the Fourth International Conference on Mathematical Population Dynamics, Housto n, Texas 1995, to appear;(also Report BU - 1320 - M, Biometrics Unit, Cornell U niversity).
Brauer, A class of Volterra integral equations arising in delayed - recr uitment population models, Nat.
Brauer, A characteristic equation arising in models for diseases with vertical transmission and without immunity, in Differential equations an d Applications to biology and to industry (M. Martelli, K. Cooke, E. Cumberbatc h, B. Tang, H. Thieme, eds.), World Scientific Press 1996, pp.
www.math.ubc.ca /people/faculty/keshet/mathbio/brauer.html   (319 words)

  
 Springer Online Reference Works   (Site not responding. Last check: 2007-10-26)
, it is customary to denote the group
The development of the ideas and methods of homological algebra resulted in the introduction of Galois cohomology groups of finite extensions with values in an Abelian group by E.
The general theorems on the structure of algebraic groups essentially reduce the study of Galois cohomology groups to a separate consideration of the Galois cohomology groups of finite groups, unipotent groups, tori, semi-simple groups, and Abelian varieties.
eom.springer.de /G/g043100.htm   (1225 words)

  
 Picard and Brauer 2-Groups | The String Coffee Table
The unit group, the Picard group, and the Brauer group of A are the 0th, 1st, and 2nd cohomology groups of the sheaf O^* on Spec A. It’s interesting that the same groups appear in this 3-category upside-down.
The unit group, the Picard group, and the Brauer group of A are the 0th, 1st, and 2nd cohomology groups of the sheaf
The unit group, the Picard group, and the Brauer group of A are the 0th, 1st, and 2nd cohomology groups of the sheaf O^* on Spec A. That’s interesting; I didn’t know that about the Brauer group, though I knew it for the Picard and unit groups!
golem.ph.utexas.edu /string/archives/000786.html   (2159 words)

  
 Brauer Groups, Hopf Algebras and Galois Theory (K-Monographs in Mathematics) by S. Caenepeel [ISBN: 079234829X] - Find ...
This volume is devoted to the Brauer group of a commutative ring and related invariants.
Included is a systematic development of the theory of Grothendieck topologies and étale cohomology, and discussion of topics such as Gabber's theorem and the theory of Taylor's big Brauer group of algebras without a unit.
The development of the theory is carried out in such a way that the connection to the theory of the Brauer group in Part I is made clear.
www.gettextbooks.com /isbn_079234829X.html   (216 words)

  
 MSCS: Yinhuo Zhang
An Exact Sequence for The Brauer Group of A Finite Quantum Group, J. Algebra.
(with F. Van Oystaeyen) The Brauer Group of Sweedler's Hopf Algebra, Proc.
(with B.Torrecilass, F.Van Oystaeyen) The Brauer Group of A Cocommutative Coalgebra, J. Algebra.
www.mcs.vuw.ac.nz /~zhang   (537 words)

  
 [No title]   (Site not responding. Last check: 2007-10-26)
Originally devised to classify certain finite-dimensional algebras over a field, the Brauer group has gradually revealed itself to be intimately related to modern algbraic and arithmetic geometry.
Progress in understanding the Brauer group has often come in the form of a deeper understanding of its geometric properties.
We will sketch the historical development of the Brauer group and describe some of its hidden ties to geometry, culminating in a recent result of de Jong on Brauer groups of surfaces and a related result for surfaces over finite fields.
www.math.rice.edu /~hassett/seminar/lieblich.html   (155 words)

  
 GERHARD WEISS : homepage *** GERHARD WEIß : homepage ***
Until March 2006 I led the research group AI/Cognition (KI/Kognition) at the computer science department of Technical University of Munich.
The group is part of the chair for Theoretical Informatics and Foundations of Artificial Intelligence (TIKI), headed by Prof.
The group's current main foci are on agent and multiagent systems, knowledge and ontologies in open environments, and spatial cognition and artificial neural networks.
wwwbrauer.in.tum.de /~weissg   (245 words)

  
 Cavin Design Group.com
Brauer's death in 1980, the firm became Richard L. Cavin, Architect, P.C. Mr.
The name was changed to Cavin Design Group to represent a broader range of design services to include architecture, interiors, and graphics.
Cavin Design Group is a tailored, interdisciplinary design firm that specializes in architecture, interior design, and graphic solutions.
www.cavindesign.com /history.php   (220 words)

  
 Contract Package.com: Pouch Filling   (Site not responding. Last check: 2007-10-26)
Brauer Packaging Group represents pouch filling and form fill seal packaging facilities throughout North America.
Brauer Packaging Group specializes in pouch filling and form fill seal contract packaging for the cosmetic, otc pharmaceutical, and personal care markets.
Brauer Packaging Group provides resources to locate the best facility for your packaging needs.
www.contractpackage.com /pouchfilling_brauer.htm   (216 words)

  
 Independent Labels
Formed in 2002 by Michiel Braam to release his solo, small group and big band music, the catalogue by mid-2005 comprised 7CDs of Bik Bent Braam, All Ears and a solo disc.
It grew from the project and performance group The Sons of God which had been doing extrovert work since spring 1985 and also from the publishing company Firework Edition that was started by Thomas Liljenberg and Leif Elggren in 1982 and was a sort of consequence of the ongoing project Firework started in Stockholm 1978.
Perplex appears to be the name given to the label and the group on this one title label, issued in 1996 by Stefan Hölker.
www.efi.group.shef.ac.uk /elabels.html   (14651 words)

  
 groups.drupal.org
Real world local user groups in particular are encouraged to setup their online presence here.
This week, I received a letter from Apress asking me to "remind your members of their exclusive Apress User Group Program discount of 25% off ALL Apress books!" I scanned the letter which you can view in the attached PDF file.
Groups - Events: Austin Meetup on Tue, 10/2/07, 7-9 pm @ SpryDev.
groups.drupal.org   (869 words)

  
 Southamericaski.com-Group Tours
A group trip is the perfect way to still have fun going by yourself meeting others and discovering great things and secret places you could not find on your own.
Even though we have specific group tours on this page, for any dates during the season we can still book your individual or group holiday to Portillo, Las Lenas or any other resort in South America.
We can custom design a trip anywhere for you or your group with or without a private ski host.
www.southamericaski.com /view.asp?p=167   (184 words)

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