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Logic and proofs -- Set theory -- Cartesian products, relations, maps and binary operations -- The integers -- Groups -- Further properties of groups -- The symmetric groups -- Rings, integral domains and fields -- Polynomial rings -- Field extensions -- Latin squares and magic squares -- Group actions, the class equation, and the sylow theorems -- Finitely generated abelian groups -- Semigroups and automata -- Isometries -- Polya-burnside enumeration -- Group codes -- Polynomial codes.
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