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The Fourth Janko Group

Alexander A. Ivanov

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198527596
eISBN:
9780191713163
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527596.001.0001
Subject:
Mathematics, Pure Mathematics

This book illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory, and local analysis, are combined to construct one of ... More


The Art of the State: Culture, Rhetoric, and Public Management

Christopher Hood

Published in print:
2000
Published Online:
November 2003
ISBN:
9780198297659
eISBN:
9780191599484
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198297653.001.0001
Subject:
Political Science, Comparative Politics

Why does public management—the art of the state—so often go wrong, producing failure and fiasco instead of public service, and what are the different ways in which control or regulation can be ... More


Finding the Roots of Algebraic Equations

Victor J. Katz and Karen Hunger Parshall

in Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691149059
eISBN:
9781400850525
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149059.003.0011
Subject:
Mathematics, History of Mathematics

This chapter highlights some of the struggles to solve fifth-degree polynomials as well as the development of the idea of a group and its application to answering the question of solvability of ... More


Human Groups and Genocide

Dr. David Nersessian

in Genocide and Political Groups

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199588909
eISBN:
9780191594557
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199588909.003.0005
Subject:
Law, Human Rights and Immigration, Public International Law

This chapter analyses whether political groups merit equal treatment to the four groups enumerated in the Genocide Convention. It first discusses what human ‘groups’ really are and the inherent ... More


CONCRETE GROUP THEORY

A. A. Ivanov

in The Fourth Janko Group

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198527596
eISBN:
9780191713163
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527596.003.0001
Subject:
Mathematics, Pure Mathematics

This chapter discusses concrete group theory. Topics covered include symplectic and orthogonal GF(2)-forms, transvections and Siegel transformations, Witt's theorem, and the space of forms.


GROUP ORBITALLY CONSTRAINED APPROXIMATION

Moody T. Chu and Gene H. Golub

in Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566649
eISBN:
9780191718021
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566649.003.0009
Subject:
Mathematics, Applied Mathematics

Group actions together with properly formulated objective functions can offer a channel to tackle various classical or new and challenging problems rising from applied linear algebra. This chapter ... More


Judges as Members of Small Groups

Wendy L. Martinek

in The Psychology of Judicial Decision Making

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195367584
eISBN:
9780199776917
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195367584.003.0005
Subject:
Psychology, Forensic Psychology

Virtually all appellate courts use groups of judges to decide cases. Accordingly, small group theory is a useful perspective for investigating appellate court decision making. In particular, ... More


Advanced Structural Inorganic Chemistry

Wai-Kee Li, Gong-Du Zhou, and Thomas Mak

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199216949
eISBN:
9780191711992
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199216949.001.0001
Subject:
Physics, Crystallography

This text is an updated English version of a class-tested textbook originally published in Chinese in 2006. Its contents are based on the lecture notes of several courses taught by the authors at The ... More


Frenkel Excitonic States in The Heitler-London Approximation

Vladimir M. Agranovich

in Excitations in Organic Solids

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199234417
eISBN:
9780191715426
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199234417.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter discusses Frenkel excitonic states in Heitler-London approximation. The Coulomb and mechanical excitons in molecular crystals are introduced using the crystal Hamiltonian. The excitons ... More


Broken Symmetry and Physicists' QFT

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0014
Subject:
Philosophy, Philosophy of Science

Chapter 12 argued that quantum statistical mechanics puts unitarily inequivalent representations to use in ways no rigid interpretation can make sense of. Two features of working QFTs which promise a ... More


Implementation of the renormalization group

Hidetoshi Nishimori and Gerardo Ortiz

in Elements of Phase Transitions and Critical Phenomena

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577224
eISBN:
9780191722943
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577224.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Actual computations of fixed points and eigenvalues usually involve approximations, often crude ones, except for a very limited number of simple cases such as the one-dimensional Ising model of the ... More


Office Hours with a Geometric Group Theorist

Dan Margalit and Matt Clay (eds)

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691158662
eISBN:
9781400885398
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691158662.001.0001
Subject:
Mathematics, Geometry / Topology

Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. This ... More


Cohesion Theory: Explaining a Military’s Will to Fight

Jasen J. Castillo

in Endurance and War: The National Sources of Military Cohesion

Published in print:
2014
Published Online:
September 2014
ISBN:
9780804789103
eISBN:
9780804790727
Item type:
chapter
Publisher:
Stanford University Press
DOI:
10.11126/stanford/9780804789103.003.0002
Subject:
Political Science, Conflict Politics and Policy

In this chapter cohesion theory is introduced to explain why national militaries differ in two important ways: (1) the ability of most units to fight hard on the battlefield and, (2) the capacity of ... More


Applying New Mathematics: Group Theory and Quantum Mechanics

Otávio Bueno and Steven French

in Applying Mathematics: Immersion, Inference, Interpretation

Published in print:
2018
Published Online:
June 2018
ISBN:
9780198815044
eISBN:
9780191852862
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198815044.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

Here we present our first case study: the introduction of group theory into quantum mechanics in the 1920s and 1930s. It is helpful in this context to distinguish the ‘Weyl’ and ‘Wigner’ programmes, ... More


Communist Neo-Traditionalism: An Introductory Essay

Andrew G. Walder

in Communist Neo-Traditionalism: Work and Authority in Chinese Industry

Published in print:
1988
Published Online:
May 2012
ISBN:
9780520064706
eISBN:
9780520909007
Item type:
chapter
Publisher:
University of California Press
DOI:
10.1525/california/9780520064706.003.0001
Subject:
Anthropology, Asian Cultural Anthropology

The neo-traditional image of communist society differs fundamentally from the images of totalitarianism and group theory. It shares with the totalitarian idea a focus on the distinctive communist ... More


Democratic expectations: the representation account

Darren Halpin

in Groups, Representation and Democracy: Between Promise and Practice

Published in print:
2010
Published Online:
July 2012
ISBN:
9780719076527
eISBN:
9781781701690
Item type:
chapter
Publisher:
Manchester University Press
DOI:
10.7228/manchester/9780719076527.003.0003
Subject:
Political Science, Democratization

This chapter scrutinizes the dominant lens through which the democratic expectations of groups are viewed. It argues that group scholars have implicitly, but sometimes explicitly, viewed groups as ... More


Grid-Group Theory and Corporal Punishment

Jean Giles-Sims and Charles Lockhart

in Corporal Punishment of Children in Theoretical Perspective

Published in print:
2005
Published Online:
October 2013
ISBN:
9780300085471
eISBN:
9780300133806
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300085471.003.0005
Subject:
Law, Family Law

This chapter demonstrates the utility of one specific theory of culture—grid-group theory—for explaining variations in parental disciplinary practices. Accordingly, this chapter introduces grid-group ... More


Symmetry of Crystals and Molecules

Mark Ladd

Published in print:
2014
Published Online:
April 2014
ISBN:
9780199670888
eISBN:
9780191781124
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199670888.001.0001
Subject:
Physics, Crystallography

This book provides a comprehensive study of the symmetry and geometry of crystals and molecules, starting from first principles. The pre-knowledge assumed is mathematics and physical science to about ... More


The Presentation of Objects and the Representation of Structure

Steven French

in The Structure of the World: Metaphysics and Representation

Published in print:
2014
Published Online:
April 2014
ISBN:
9780199684847
eISBN:
9780191765131
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199684847.003.0005
Subject:
Philosophy, Metaphysics/Epistemology

Here the commitments of OSR are clarified by drawing on the following useful distinction: the structure of the world is presented to us in the theoretical context under consideration by means of the ... More


Holistic Darwinism: Synergistic Selection and the Evolutionary Process

Peter A. Corning

in Holistic Darwinism: Synergy, Cybernetics, and the Bioeconomics of Evolution

Published in print:
2005
Published Online:
February 2013
ISBN:
9780226116136
eISBN:
9780226116334
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226116334.003.0003
Subject:
Biology, Evolutionary Biology / Genetics

This chapter presents a critique of Neo-Darwinism and the case for Holistic Darwinism. It discusses the realization of the founding fathers of modern genetics and population biology concerning the ... More


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