Catalog Entries |
Fall 2024 Semester
Oct 17, 2026 |
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| MATH 3175 - Group Theory |
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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.
4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: UG College of Science |
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