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By Subject > Science and Mathematics > Mathematics > Group Theory
Recommendations...
Problems in Group Theory by John D. Dixon Features 431 problems in group theory involving subgroups, permutation groups, automorphisms and finitely generated Abelian groups, normal series, commutators and derived series, solvable and nilpotent groups, and more. Full solutions. 1967 edition.
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|  | Theory of Continuous Groups by Charles Loewner These 14 lectures by a renowned educator focus on applications of continuous groups in geometry and analysis. Their unique perspectives are illustrated by numerous inventive geometric examples. 1971 edition.
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Theory of Groups of Finite Order by W. Burnside Classic introduction to group theory covers permutation; composition-series of groups; isomorphism; Abelian groups; groups whose orders are the powers of primes; Sylow's theorem; permutation groups; groups of linear substitutions; more.
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Lie Groups, Lie Algebras, and Some of Their Applications by Robert Gilmore This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.
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|  | Galois Theory: Lectures Delivered at the University of Notre Dame (Notre Dame Mathematical Lectures, Number 2) by Emil Artin, Arthur N. Milgram Clearly presented discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 edition.
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| Products in Group Theory |  |  | |  | Galois Theory: Lectures Delivered at the University of Notre Dame (Notre Dame Mathematical Lectures, Number 2) by Emil Artin, Arthur N. Milgram Clearly presented discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 edition.
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|  | Group Theory by W. R. Scott Clear, well-organized coverage of most standard theorems: isomorphism theorems, transformations and subgroups, direct sums, abelian groups, etc. Over 500 exercises. Undergraduate-level.
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|  | Problems in Group Theory by John D. Dixon Features 431 problems in group theory involving subgroups, permutation groups, automorphisms and finitely generated Abelian groups, normal series, commutators and derived series, solvable and nilpotent groups, and more. Full solutions. 1967 edition.
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| |  | Theory of Continuous Groups by Charles Loewner These 14 lectures by a renowned educator focus on applications of continuous groups in geometry and analysis. Their unique perspectives are illustrated by numerous inventive geometric examples. 1971 edition.
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|  | Theory of Groups of Finite Order by W. Burnside Classic introduction to group theory covers permutation; composition-series of groups; isomorphism; Abelian groups; groups whose orders are the powers of primes; Sylow's theorem; permutation groups; groups of linear substitutions; more.
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