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MATH 3175 - Group Theory |

Presents basic concepts and techniques of the group theory: symmetry groups, axiomatic definition of groups, important classes of groups (abelian groups, cyclic groups, additive and multiplicative groups of residues, and permutation groups), Cayley table, subgroups, group homomorphism, cosets, the Lagrange theorem, normal subgroups, quotient groups, and direct products. Studies structural properties of groups. Possible applications include geometry, number theory, crystallography, physics, and combinatorics. Prereq. MATH 2321 and MATH 2331.
4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: CAS Core Analysis, UG College of Science Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MATH 2321 Minimum Grade of D- and Undergraduate level MATH 2331 Minimum Grade of D- |

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