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Topic: List of group theory topics

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	Group theory - Wikipedia, the free encyclopedia
		Group theory is that branch of mathematics concerned with the study of groups.
		A common foundation for the theory of equations on the basis of the group of permutations was found by Lagrange (1770, 1771), and on this was built the theory of substitutions.
		Groups are used throughout mathematics and the sciences, often to capture the internal symmetry of other structures, in the form of automorphism groups.
	en.wikipedia.org /wiki/Group_theory (1259 words)

	wikien.info: Main_Page (Site not responding. Last check: 2007-11-06)
		Previous to this work, groups were mainly studied concretely, in the form of permutations; some aspects of abelian group theory were known in the theory of quadratic forms.
		Groups underlie many other algebraic structures such as fields and vector spaces and are also important tools for studying symmetry in all its forms.
		A group that we are introduced to in elementary school is the integers under addition.
	www.hostingciamca.com /index.php?title=Group_(mathematics) (1852 words)

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		permutations; some aspects of abelian group theory were known in the theory of quadratic forms.
		Group Theory allows for the properties of these systems and many others to be investigated in a more general setting, and its results are widely applicable.
		A group in which this equation holds for all a and b in G, is called abelian (after the mathematican Niels Abel).
	en-cyclopedia.com /wiki/Group_(mathematics) (1692 words)

	20: Group Theory and Generalizations
		Group theory can be considered the study of symmetry: the collection of symmetries of some object preserving some of its structure forms a group; in some sense all groups arise this way.
		Groups acting on topological spaces are the basis of equivariant topology and homotopy theory in Algebraic Topology.
		Nielsen's theorem: subgroups of free groups are free.
	www.math.niu.edu /~rusin/known-math/index/20-XX.html (2774 words)

	UW-Madison Plasma Physics Theory
		The plasma theory group is part of the Plasma Group in the Department of Physics at the University of Wisconsin.
		The group conducts analytic and numerical research on a wide variety of topics relevant to magnetically confined fusion plasma research and plasma physics in general.
		Among the topics of research are plasma turbulence and transport, magnetic fluctuations and transport, reversed field pinch theory, astrophysical turbulence, and transport of stratospheric constituents.
	sprott.physics.wisc.edu /theory/home.htm (930 words)

	The Math Forum - Math Library - Group Theory (Site not responding. Last check: 2007-11-06)
		Group Theory is a branch of algebra, but has strong connections with almost all parts of mathematics.
		Group theory takes an abstract approach, dealing with many mathematical systems at once and requiring only that a mathematical system obey a few simple rules, seeking then to find properties common to all systems that obey these few rules.
		A short article designed to provide an introduction to finite groups - their internal properties: all those results about group theory for which a consideration of the order of elements is a central part of the question.
	mathforum.org /library/topics/group_theory (2254 words)

	HyperText Project (Site not responding. Last check: 2007-11-06)
		The subject will concentrate on a small group of critical writings, while the labs will be used to explore further possibilities of nonlinear writing and reading, and hypertext publication.
		A solid understanding of several key issues in hypertext theory will be sought, while in lab work students will be able to creatively explore the issues and practices of hypertext, while also producing and publishing a substantive body of work.
		The particular project is to be decided by the group in consultation with the lecturer (groups will consist of three or four students) and will combine theoretical interests and practical application.
	hypertext.rmit.edu.au /subjects/hm408_97 (961 words)

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		TOOLS groups were also found to be significantly more likely to recommend the system for future meetings; to have enjoyed their participation in the discussion; and to have a higher opinion of the overall quality of the discussion than did the groups not supported with tools.
		Groups were required to reach consensus on the initial requirements of the APO and to submit these requirements in a formal report at the end of the experiment.
		Groups in all four conditions were to (1) individually evaluate the manuscript, (2) provide ratings and justifications for the ratings on six scales; (3) share their responses with the group, and finally (4) discuss and reach agreement on ratings.
	eies.njit.edu /~hiltz/CRProject/DGSS/dgsschap.html (12167 words)

	Group Theory & Rubik's Cube
		Group theory is the study of the algebra of transformations and symmetry.
		Given an element x of a group G, the orbit of x is the set of all elements of G which are generated by x, i.e.
		A representation of a group G is a set of matrices M which are homomorphic to the group.
	akbar.marlboro.edu /~mahoney/courses/Spr00/rubik.html (3602 words)

	Group Theory and Quantum Mechanics
		Tinkham's book is invaluable in that it develops the parts of group theory that are extremely relevant to physics and chemistry such as the theory of representations (topics that mathematicians seem bored by) and then shows beautifully how it applies to quantum mechanics.
		Group theory makes much more evident what is meant by "good quantum numbers", where degeneracies come from, and other basic issues in quantum mechanics.
		Particularly clever was the discussion of the Bloch wavefunction ansatz as a consequence of the Abelian symmetry group of a periodic crystal lattice.
	www.textbooksrus.com /search/BookDetail?isbn=0486432475&r=ys (413 words)

	List of online PL theory texts (Site not responding. Last check: 2007-11-06)
		I have been gathering a small but growing list of online programming language theory reference texts at: http://www.cs.uu.nl/people/franka/ref.html These are mostly links to books that have gone out of print, and/or whose authors have been generous enough to make their work freely available.
		This list is intended not only as a service to PL researchers, but also to interested members of other communities, particularly programmers without a formal research background whose interest in theoretical topics has been stimulated by (for example) exposure to modern programming languages such as Haskell, ML, Scheme and Mercury.
		Therefore, this list is focused on the central topics of PL theory and semantics, and aimed at a broad, beginning graduate-level audience with the inclination and drive to self-start their own studies.
	www.seas.upenn.edu /~sweirich/types/archive/1999-2003/msg00639.html (206 words)

	Open Directory - Science: Math: Algebra: Group Theory (Site not responding. Last check: 2007-11-06)
		Computational Tools for Group Theory - Describes work to create a program that could be used to generate, identify, and analyze finite groups presented in the form of a Cayley Table as well as visualize the groups that are generated.
		Group Action Forum - Association for the study of the theory of transformation groups and related topics.
		Group Pub Forum Home Page - These are the community pages for Group Theory, the mathematics of symmetry.
	dmoz.org /Science/Math/Algebra/Group_Theory (631 words)

	UCSD High Energy Theory Home Page
		Our group consists of five faculty: Grinstein, Intriligator, Jenkins, Kuti, and Manohar, whose research directions span the various sub-fields of high energy theory.
		Topics studied include: the strong interactions (QCD), heavy quarks physics, neutrino physics, supersymmetry, gravity, string theory, branes, and cosmology.
		A (partial) list of UCSD high energy theory publications can be found here.
	einstein.ucsd.edu (279 words)

	LW Topic: World Politics War Theory
		"War theory" could mean theory of fighting wars, or theory of the use of war (and threat of war) in coercive diplomacy, or the ethics of war.
		Attempts at 'war theory' stand alongside attempts to interpret the onset of specific wars.
		This Topic has been authored by Bruce D. Larkin, who also serves as its Steward, and who can be reached by email at: china@cats.ucsc.edu.
	www.learnworld.com /LW/LWT.WarTheory.html (961 words)

	Number Theory - Advanced Topics in Mathematics at CCHS
		Number Theory is a branch of mathematics that goes back to the Pythagoreans in the 5th century B.C. that studies the properties of the whole numbers.
		The field of Number Theory, as with many fields in mathematics, began as an abstract exercise and eventually found countless applications in the modern world.
		In the Advanced Topics class, we connect a variety of topics under the umbrella of Number Theory.
	mail.colonial.net /~abeckwith/numthry.html (788 words)

	The Math Forum - Math Library - Approximation Theory (Site not responding. Last check: 2007-11-06)
		Includes a list of theses and relevant class notes (some linked or available for download), tables of contents from various journals, and an alphabetical listing of approximation theorists.
		The Journal of Approximation Theory is devoted to advances in pure and applied approximation theory and related areas.
		Topics covered: solving equations, mathematical curves, approximation, numerical integration and differentiation, complex numbers.
	mathforum.org /library/topics/approx_theory (502 words)

	Schur Group Theory Software
		As well as being a research tool Schur forms an excellent tool for helping students to independently explore the properties of Lie groups and symmetric functions and to test their understanding by creating simple examples and moving on to more complex examples.
		List handling is a general feature of Schur.
		The standardisation of non-standard representations of groups by the use of modification procedures.
	smc.vnet.net /Schur.html (1154 words)

	TEXTBOOKS, LECTURE NOTES AND TUTORIALS IN MATHEMATICS
		The theory of the foundations of mathematics - 1870 to 1940
		Mathematics of Rubik's cube by David Joyner is a good source for discrete group theory with applications to permutation puzzles.
		TeX by Topic the TeXbook of Victor Eijkhout
	us.geocities.com /alex_stef/mylist.html (2371 words)

	Duke Physics: Nuclear/Particle Theory Group (Site not responding. Last check: 2007-11-06)
		What We Do Research topics in our group cover a wide range of subjects in nuclear and particle theory, especially quantum chromodynamics.
		Special topics include lattice gauge theory, effective theories of hadron structure and the quark-gluon plasma.
		We also interact closely with nuclear theory and experimental groups at North Carolina State and the University of North Carolina, with whom we run the weekly Triangle Nuclear Theory Colloquium.
	www.phy.duke.edu /research/NPTheory/Intro.html (154 words)

	60: Probability theory and stochastic processes
		Probability theory is simply enumerative combinatorial analysis when applied to finite sets; thus the techniques and results resemble those of discrete mathematics.
		A list of references on the history of probability and statistics is available.
		The topic of randomly generating points on a sphere is included here but there is another page with general discussions of spheres.
	www.math.niu.edu /~rusin/known-math/index/60-XX.html (865 words)

	Jefferson Theory Center
		The JLab Theory Center pursues a broad program of theoretical research in support of the physics being studied by the CEBAF experimental program.
		The JLab Theory Center provides an opportunity for post-doctoral fellows to develop professionally by doing research in a supportive, intellectually stimulating environment.
		The Theory Center helps describe the physics for lay audiences, advises the Laboratory on the scientific merit of proposed experiments, and provides leadership in developing advanced techniques for the analysis and interpretation of data.
	www.jlab.org /div_dept/theory (229 words)

	Compiler Topics Links to Sites Related to Compilers (Site not responding. Last check: 2007-11-06)
		Papers on the C including the language, the standard and the standard process, the history of C, programming culture, and coding style.
		Comprensive list of programming languages, past and present, with over 2350 entries.
		Rice Compiler Group projects focus on 1) the Massively Scalar Compiler Project (MSCP) which concentrates on compilers for advanced micorprocessors, and 2) the Fortran Parallel Programming Systems and Fortran Tools which concentrates on compilers and tools to support machine-independent parallel programming in Fortran.
	www.compilerconnection.com /topics/topics.htm (378 words)

	de la Harpe, Pierre: Topics in Geometric Group Theory (Site not responding. Last check: 2007-11-06)
		In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades.
		The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups.
		V.C. On fundamental groups and curvature in Riemannian geometry
	www.press.uchicago.edu /cgi-bin/hfs.cgi/00/14082.ctl (234 words)

	LINGUIST List 13.906: Treebanks & Ling Theory, Lang & Identity (Site not responding. Last check: 2007-11-06)
		As a matter of policy, LINGUIST discourages the use of abbreviations or acronyms in conference announcements unless they are explained in the text.
		Treebanks and Linguistic Theories 2002 20th and 21st September 2002, Sozopol, Bulgaria Workshop motivation and aims Treebanks are a language resource that provides annotations of natural languages at various levels of structure: at the word level, the phrase level, the sentence level, and sometimes also at the level of function-argument structure.
		Therefore the development of treebanks and formal linguistic theories need to be more tightly connected in order to ensure the necessary information flow between them.
	www.ling.ed.ac.uk /linguist/issues/13/13-906.html (615 words)

	Brown Dot Logic Resources
		A group of Brown Dots (1999-2000 Project NExT Fellows) are collecting web resources on various topics.
		Below is a list of course home pages I have come across.
		Most notably, there is material on cardinality, countability, and diagonalizationan, and there is a section giving a brief introduction to set theory.
	www.calvin.edu /~rpruim/next/resources/logic.shtml (425 words)

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