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Books like Abstract algebra by William Paulsen


Abstract Algebra by William Paulsen is a comprehensive textbook designed for intermediate students. It starts with the basic concept of a group and modular arithmetic, then moves through prime factorizations and the formal definition of a group. The book explores group structure, generators, finite groups in Mathematica and GAP, and the theory of subgroups and cosets, including left and right cosets. It also covers normal subgroups, quotient groups, and maps between groups such as isomorphisms and homomorphisms, culminating in the three isomorphism theorems. The final chapters discuss permutation groups, symmetric groups, cycles, Cayley's theorem, numbering permutations, building larger groups from smaller groups, and the direct product.
First publish date: 2010
Genre: Education & Language/Education
Authors: William Paulsen
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Abstract algebra by William Paulsen

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