MATH 221

Abstract Algebra I

Groups, subgroups, homomorphisms, cosets, normality, quotient groups. Special topics include direct products, generators and relations, finitely generated abelian groups, Sylow theorems, classification of finite groups, nilpotent and solvable series, normal and subnormal series. Applications include frieze groups, wallpaper groups, permutation groups and symmetry groups.

Credits: 3.0

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