PMATH 346 – LEC 0.50 – Course ID: 007668 – Group Theory

Elementary properties of groups, cyclic groups, permutation groups, Lagrange’s theorem, normal subgroups, homomorphisms, isomorphism theorems and automorphisms, Cayley’s theorem and generalizations, class equation, combinatorial applications, p-groups, Sylow theorems, groups of small order, simplicity of the alternating groups, direct product, fundamental structure theorem for finitely generated Abelian groups. Prereq: MATH 235 or 245; Not open to General Mathematics students




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