Algebra 1
ADD. KEYWORDS: Mathematica Notebooks, groups, linear groups,
cosets, normal subgroups, quotient groups, group actions and Sylow subgroups
SOURCE: Scarborough College Mathematics Computer Laboratory
TECHNOLOGY: Mathematica
Algebra:
Abstract and Concrete by Frederick M. Goodman
ADD. KEYWORDS: Published Text, Supplementary Materials,
VRML, Symmetry, Polyhedra, Duality of polyhedra, Symmetric dynamical systems,
Paper and stick models
Algebraic
Geometry Seminar
ADD. KEYWORDS: Varieties and regular maps, Introduction
to Curves, Tangent Spaces, Divisors, Differentials, A basic object in the
Riemann-Roch theorem, and Jacobian varieties, Algebraic Geometry and Number
Theory
SOURCE: Michael Harrison from the University of Washington
TECHNOLOGY: Postscript or DVI viewer
Algebraic
Number Theory
ADD. KEYWORDS: Quadratic reciprocity over global fields,
Newton polygons
Algebraic
Number Theory
ADD. KEYWORDS: Course materials, course notes, problem
sheets, exams
SOURCE: Robin Chapman, University of Exeter
TECHNOLOGY: TeX DVI
Algorithmic Algebra
and Geometry
ADD. KEYWORDS: Course Materials
SOURCE: Dave Bayer from Barnard College and Sorin Popescu
from Columbia University
TECHNOLOGY: Realplayer plugin
Arithmetic Algebraic
Geometry
ADD. KEYWORDS: Project Information
SOURCE: P. Berthelot, Institut Mathématique de
Rennes
Arithmetic
properties of Binomial Coefficients
ADD. KEYWORDS: Elementary Number Theory, Lucas' Theorem,
Pascal's triangle via cellular automata, Bernoulli numbers and polynomials,
Theorems of Morley and Emma Lehmer and their generalizations, Some useful
p-adic numbers
ATLAS of Finite Group representations
ADD. KEYWORDS: Alternating groups, Sporadic groups, Linear
groups, Unitary groups, Orthogonal groups, Symplectic groups, Untwisted groups,
Twisted groups
SOURCE: Robert Wilson, Richard Parker, John Bray, etal.
Bezout
ADD. KEYWORDS: gcd, lcm, Euclidean division, Bezout relation
SOURCE: Xiao Gang from the University of Nice
TECHNOLOGY: Server side programs
Catalogue of Algebraic
Systems
ADD. KEYWORDS: Groupoids, Groups, Loops, Monoids, Quasigroups,
Rings, Semigroups
SOURCE: John Pedersen and W. Edwin Clark from the University
of South Florida
Course Notes
- J.S. Milne
ADD. KEYWORDS: Graduate courses on Group Theory, Fields
and Galois Theory, Algebraic Number Theory, Class Field Theory, Modular Functions
and Modular Forms, Elliptic Curves, Algebraic Geometry, Lectures on Etale
Cohomology, Abelian Varieties
SOURCE: J. S. Milne of the University of Michigan
The
development of group theory
ADD. KEYWORDS: Article
SOURCE: J. J. O'Connor and E. F. Robertson for the MacTutor
History of Mathematics Archive
Discrete Structures, Universität
Bayreuth
ADD. KEYWORDS: Software, SYMMETRICA, List of Large Designs,
Finite Group Actions, Group Theory, Coding Theory, Finite Geometries, Mathematical
Chemistry, MOLGEN
Elements of Abstract and Linear
Algebra
ADD. KEYWORDS: Textbook, Groups, Rings, Matrices and Matrix
Rings, Linear Algebra
SOURCE: Edwin Connell, University of Miami
Exploring
Abstract Algebra with Mathematica
ADD. KEYWORDS: Finite groups and rings, Lab materials
SOURCE: Al Hibbard from Central College and Ken Levasseur
from the University of Massachusetts, Lowell
TECHNOLOGY: Mathematica notebooks
Factoris
ADD. KEYWORDS: Factor integers, Factor polynomials over
various fields, Euler function, Möbius function
Factorization
ADD. KEYWORDS: Tutorials, Algorithms, Implementations
in Computer Algebra System, Factorization Challenges, Research Teams, Applications,
Literature
SOURCE: CAIN Europe
TECHNOLOGY Computer Algebra Systems
Galois
Fields
ADD. KEYWORDS: Calculations in finite fields
SOURCE: Jan Struyf, a student at Katholieke Universiteit
Leuven
TECHNOLOGY: Java applets
Galois
Theory
ADD. KEYWORDS: fields and extensions, algebraic closure,
separability and normality, the Galois connexion, solvability, finite fields,
Galois theory glossary, ring theory glossary
SOURCE: Gavin Wraith from the University of Sussex
Galois Theory
ADD. KEYWORDS: Mathematica notebooks, finite fields, Frobenius,
symmetric polynomials, solvable groups, quartics, and Galois groups
Galois Theory
Lecture Note
ADD. KEYWORDS: Lecture Notes
SOURCE: Young Ho Park from Kangwon National University
TECHNOLOGY: DVI viewer
Groups
ADD. KEYWORDS: Lecture Notes
SOURCE: Peter Williams from California State University,
Bernardino
Groups
ADD. KEYWORDS: Course materials, Lecture Notes
SOURCE: Paul Scott from the University of Adelaide
Groups,
Rings and Fields
ADD. KEYWORDS: Course materials, problem sheets, course
notes, exams.
SOURCE: Robin John Chapman, University of Exeter
TECHNOLOGY: TeX DVI, Maple
The
groups of order 64
ADD. KEYWORDS: GAP, Listing of all groups of order 64,
presentations, elements with their orders, number of conjugacy classes, nilpotency
class, centre and commutator subgroup, automorphism and inner automorphism
group and the lower central series.
SOURCE: Jurgen Ecker of the University of Linz
TECHNOLOGY: GAP
Groups15
ADD. KEYWORDS: Groups of order less than or equal to fifteen
SOURCE: John J Wavrik from the University of California,
San Diego
TECHNOLOGY: Java applet
Higher Dimensional
Group Theory
ADD. KEYWORDS: Algebraic Topology, Homotopy theory, Groupoids,
Van Kampen Theorem, Homotopy Groups
The Hodge Conjecture
ADD. KEYWORDS: Expository Article
SOURCE: P. Deligne, Clay Mathematics Institute
TECHNOLOGY: PDF viewer
Introduction to
Algebraic Geometry
ADD. KEYWORDS: Lecture Notes, Algebraic sets, Hilbert's
Nullstellensatz, varieties over algebraically closed fields, complex analytic
manifolds, genus, divisors, linear series, line bundles and the Riemann-Roch
theorem.
SOURCE: Ravi Vakil of the Massachusetts Institute of Technology
Math Notes
ADD. KEYWORDS: Tutorials, Set theory, Symbolic logic,
Methods of proof, Basic proofs, Functions, Relations, Binary operations, Groups
The
Mathematical Atlas - Algebraic Areas of Mathematics
ADD. KEYWORDS: History, Applications and related areas,
Bibliography, Tutorials, Software, Newsgroups
SOURCE: David Rusin from Northern Illinois University
TECHNOLOGY: Software
The Modular Forms Database
ADD. KEYWORDS: Tables, Dynamic Modular Forms Database,
Software, Papers, Lecture notes, Serre's conjectures, Hecke algebras, The
refined Eisenstein conjecture, New examples of modular icosahedral Artin representations,
Component groups of optimal quotients, The Manin index of optimal new quotients,
Motifs, Galois Cohomology
SOURCE: William A. Stein, Harvard University
TECHNOLOGY: MAGMA, C++, LiDIA, and PARI
Moduli
Spaces in Algebraic Geometry
ADD. KEYWORDS: Lecture Notes, Moduli of Principal G-Bundles
Over Algebraic Curves, Hilbert Schemes of Points and Heisenberg Algebras,
Donaldson Invariants in Algebraic Geometry, Holomorphic Bundles Over Elliptic
Manifolds, Degenerations of the Moduli Spaces of Vector Bundles on Curves,
A Minicourse on Moduli of Curves, Moduli of Riemann Surfaces, Transcendental
Aspects, Arithmetic Fundamental Groups and Moduli of Curves
SOURCE: L. Goettsche (editor), The Abdus Salam International
Centre for Theoretical Physics
TECHNOLOGY: Postscript and Adobe Acrobat readers
The Motivation
Behind Motivic Cohomology
ADD. KEYWORDS: Article, Algebraic Geometry, Vladimir Voevodsky,
Andrei Suslin
SOURCE: Allyn Jackson from the American Mathematical Society
Near-Rings
ADD. KEYWORDS: People, Meetings
SOURCE: Jürgen Ecker from the University of Linz
New York Group Theory Cooperative
ADD. KEYWORDS: Genetic algorithms, Combinatorial group
theory, Open problems, Discussion groups
SOURCE: New York Group Theory Cooperative from City University
of New York
TECHNOLOGY: Magnus
Notes on Algebraic
Numbers
ADD. KEYWORDS: Course notes, algebraic numbers and integers,
quadratic fields, rings of integers, divisibility and factorization, ideal
theory, ideal classes and the class group
SOURCE: Robin Chapman, University of Exeter
TECHNOLOGY: TeX DVI
Numbers
of Small Groups
ADD. KEYWORDS: Number of groups of a given order <
1000
SOURCE: Gordon Royle, University of Western Australia
TECHNOLOGY: GAP
The Numeroscope
ADD. KEYWORDS: Finite groups, Factoring Number Systems,
Applications to Cryptography (RSA), Solving Polynomial Equations
SOURCE: Paul Burchard
TECHNOLOGY: Java applet
Orders
of non-abelian simple groups
ADD. KEYWORDS: Scheme, Listings of groups, Sporadic Simple
Groups, Groups of ranks 2 and 4
SOURCE: David Madore
Other Projects
ADD. KEYWORDS: Notes on Algebraic Geometry, Étale
Cohomology, Algebraic Surfaces, Curves on Surfaces
SOURCE: Kevin Coombes from the University of Maryland
TECHNOLOGY: DVI reader
Pattern
ADD. KEYWORDS: Course Materials, Interdisciplinary Course
in textile design and elementary group theory
SOURCE: Pippa Drew and Dorothy Wallace from Dartmouth
College
Some Materials for the
Graduate Algebra Course
ADD. KEYWORDS: Course Materials, Jordan-Hölder Theorem,
The Ascending Chain Condition, Local Rings, The Jacobson Radical of a Ring,
The Krull-Schmidt-Azumaya Theorem, Unique Factorization Domains, Invertible
Ideals, The Wedderburn-Artin Theorem, Semi-simple Artinian Rings
SOURCE: E. Lee Lady from the University of Hawaii
TECHNOLOGY: Postscript and DVI readers
Stanford Encyclopedia
of Philosophy - Category Theory
ADD. KEYWORDS: General Definitions, Brief Historical Sketch,
Philosophical Significance, Bibliography
SOURCE: Jean-Pierre Marquis from the University of Montreal
Symmetric Presentations
ADD. KEYWORDS: Group presentations, Alternating groups,
Sporadic groups (including the JacquesTits group), Linear groups, Unitary
groups, Symplectic groups, Orthogonal groups, Exceptional groups of Lie type
(both twisted and untwisted)
SOURCE: John Bray from the University of Birmingham
The Valuation Theory Home
Page
ADD. KEYWORDS: Conferences, People, Recent papers, books
and theses in valuation theory, Bibliography, Open Problems, News
Variations
on an Irrational Theme - Geometry, Dynamics, Algebra
ADD. KEYWORDS: Article, Incommensurability and Infinite
Descent, A Dynamical View of Irrationality, Gauss' Lemma, Roots of polynomials
SOURCE: Dan Kalman, American University, Robert Mena,
California State University, Shahriar Shahriari, Pomona College
TECHNOLOGY: DVI reader
What
is Moonshine?
ADD. KEYWORDS: Expository lecture, Fields Prize lecture
SOURCE: Richard E. Borcherds from the University of Cambridge
TECHNOLOGY: Postscript or DVI reader
The
Work of Richard Ewen Borcherds
ADD. KEYWORDS: Expository lecture
SOURCE: Peter Goddard from St. John's College, University
of Cambridge in DOCUMENTA MATHEMATICA
TECHNOLOGY: Postscript or DVI reader