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 DIRECTORY/Science/Tech/Math/Algebra/Group Theory (30)
i0Abstract groups - http://www-history.mcs.st-andrews.ac.uk/history/HistTopics/Abstract_groups.html - The abstract group concept. Material based on lectures by Peter Neumann.
 
i0ArXiv Front: GR Group Theory - http://front.math.ucdavis.edu/math.GR - Group theory section of the mathematics e-print arXiv.
 
i0Binary Coordinate Systems - http://m759.freeservers.com/coord.html - Article by Steven H. Cullinane. Defines "Cartesian" coordinate systems for small finite geometries over the two-element field, and discusses geometrically simple generators for affine group actions.
 
i0Broue's Abelian Defect Group Conjecture - http://www.maths.bris.ac.uk/~majcr/adgc/adgc.html - A record of which groups and blocks have been proved to satisfy the conjecture, maintained by Jeremy Rickard.
 
i0Common Systems of Coset Representatives - http://www.geocities.com/dharwadker/coset.html - Proof of existence of a common system of representatives for the left and right cosets of a finite subgroup of a group by Ashay Dharwadker.
 
i0Computational Tools for Group Theory - http://www.groovypower.com/thesis/ - 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.
 
i0Coxeter/Weyl Tutorial - http://www.math.lsa.umich.edu/~jrs/coxtut.html - A Tutorial Introduction to the Coxeter and Weyl Packages, a pair of Maple packages for working with root systems, finite Coxeter groups and Weyl characters
 
i0GAP - Groups, Algorithms and Programming - http://www.gap-system.org/ - GAP is a free system for computational discrete algebra.
 
i0Group Action Forum - http://gaf.astagor.net/ - Association for the study of the theory of transformation groups and related topics. Members, news, events, publications.
 
i0Group Pub Forum Home Page - http://www.bath.ac.uk/~masgcs/gpf.html - These are the community pages for Group Theory, the mathematics of symmetry. Group Theory is a branch of algebra, but has strong connections with almost all parts of mathematics.
 
i0Group Theory - http://www.nbi.dk/GroupTheory/ - On-line book by Prederic Cvitanovic. Available both in 'psd' and 'ps' formats.
 
i0International Society for Group Theory in Cognitive Science - http://www.rci.rutgers.edu/~mleyton/GT.htm - Group theory in: Robotics, Problem-Solving, Planning, Learning, Language, Perception, Art, Design, Engineering, Manufacturing, Epistemology, Measurement, Computation, Neuroscience, Anthropology, Semiotics.
 
i0Introduction to Group Theory - http://members.tripod.com/dogschool/ - A fairly easy to understand tutorial. Fourteen sections, including groups, Cayley tables, subgroups, cosets, Lagrange's theorem, cyclic groups and subgroups, permutations, and Rubik's cube.
 
i0Mod-2 Cohomology of 2-Groups - http://www.math.uga.edu/~jfc/groups/cohomology.html - Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64.
 
i0New York Group Theory Cooperative - http://zebra.sci.ccny.cuny.edu/web/ - Software (Magnus), preprints, meetings, links. Magnus - a graphically-oriented system for computational group theory - allows one to explore and experiment with abstract groups without the need for learning yet another programming language. Magnus is freely available software (GPL) based on Tcl/Tk.
 
i0Open Problems in Group Theory - http://zebra.sci.ccny.cuny.edu/web/nygtc/problems/ - Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new.
 
i0PARGAP - http://www.ccs.neu.edu/home/gene/pargap.html - Parallel GAP/MPI (ParGAP/MPI), a share package for GAP. UNIX (or Cygwin/Windows). Download source and documentation by FTP.
 
i0Papers by R. E. Borcherds - http://math.berkeley.edu/~reb/papers/ - Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
 
i0Permutation Group Problems - http://www.maths.qmw.ac.uk/~pjc/pgprob.html - Compiled by Peter Cameron.
 
i0Permutation Groups Resources - http://www.maths.qmw.ac.uk/~pjc/permgps/ - Web-based resources for permutation groups and related areas in group theory and combinatorics.
 
i0Symmetry - http://newton.ex.ac.uk/research/qsystems/people/goss/symmetry/index.html - The main point group symmetries of interest to defect physics by operation (reflection, rotations etc) and classification (trigonal, and cubic). Most point groups also have the associated character table on-line.
 
i0Symmetry Groups in Maple V - http://web.usna.navy.mil/~wdj/symm_gp.html - A worksheet by W.D. Joyner.
 
i0The Lie algebras su(N), an introduction - http://lie.walterpfeifer.ch/ - Publication: An Introduction to the Lie Algebras su(N). By Walter Pfeifer, Switzerland. A free copy can be ordered.
 
i0The World of Groups - http://www.cs.gc.cuny.edu/~cryptlab/gworld/gworld.html - Part of the World Wide Algebra project. Open problems in combinatorial group theory, a list of personal web pages, conferences and seminars, and useful links.
 
i0Trinomials with Interesting Galois Groups - http://www.math.harvard.edu/~elkies/trinomial.html - Parametrisation of trinomials with Galois groups contained in the simple group G168.
 
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