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Cross-references: simple groups, finitely generated, elliptic curve, abelian varieties, infinity, tangent, intersects, line, straight, multiplicative functions, Dirichlet convolution, arithmetic functions, commensurability, ideal class group, algebraic integers, ideals, equivalence classes, number field, general linear group scheme, commutative ring, group of units, identity matrix, vector space, symmetric difference, powerset, sum, commutativity, modules, concatenation, inverses, strings, finite, members, axioms, free groups, homology groups, higher homotopy groups, accessible, paths, continuous, classes, homotopy, fundamental group, point, groups of small order, Klein 4-group, smooth maps, group operations, differentiable manifolds, Lie groups, determinant, special orthogonal group, orthogonal, orthogonal group, combinations, transformations, dilations, contains, matrix multiplication, matrices, general linear group, matrix groups, rational numbers, algebraic extension, inverse Galois problem, Galois groups, equations, polynomial, solutions, field extensions, Galois theory, automorphism group, homomorphisms, composition, category, topological space, graph, automorphisms, dihedral group, square, cone, reflections, rotations, object, examples of finite simple groups, simplicity of the alternating groups, proof, simple, index, normal, transpositions, even number, product, even, alternating group, Cayley's theorem, subgroup, finite group, permutations, symmetric group, topological groups, topologies, examples of rings, ring multiplication, invertible, multiplicative identity, units of quadratic fields, negatives, powers, ring, units, Euler, order, abelian group, coprime, sphere, unit sphere, unit circle, absolute value, multiplicative group, elements, additive group, field, non-abelian group, quaternions, complex numbers, algebraic numbers, multiplication, positive, complex, real, rational, isomorphic, cyclic group, identity element, operation, addition, integers, non-Abelian, symmetries, abelian, numbers
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This is version 31 of examples of groups, born on 2002-06-28, modified 2008-12-01.
Object id is 3144, canonical name is ExamplesOfGroups.
Accessed 16176 times total.
Classification:
| AMS MSC: | 20-00 (Group theory and generalizations :: General reference works ) | | | 20A05 (Group theory and generalizations :: Foundations :: Axiomatics and elementary properties) |
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Pending Errata and Addenda
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