Group Theory

3 credits · Undergraduate

(3 hrs Lecture) This course studies symmetry groups of regular polygons and Platonic solids, permutations and permutation groups; abstract groups, cosets, homomorphisms, subgroups, normal subgroups and quotient groups; isomorphism theorems, Sylow theorems, classification of finitely generated Abelian groups; group actions and counting with Burnside's lemma. Restrictions: Students may not hold credit for this course and MATH-3201 | MATH-4201. Requisite Courses: MATH-1401 and MATH-2203 or the former MATH-2221 or the former MATH-2201 [prerequisite(s)].