Course Title:
Group Theory
Course Description:
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.
Fall Offering:
Even
Lab/Coreq 1:
Spring Offering:
Even
Lab/Coreq 2:
Summer Offering:
Lab/Coreq Remarks:
Summer 1 Offering:
Prerequisite 1:
MTH U165
Summer 2 Offering:
Prerequisite 2:
MTH U341
Cross-Listed Course 1:
Prerequisite 3:
MTH U371
Cross-Listed Course 2:
Prerequisite 4:
Cross-Listed Course 3:
Prerequisite 5:
Cross-Listed Course 4:
Prerequisite Remarks:
Cross-Listed Course 5:
Repeatable:
N
Additional Information:
Approved course: Arts & Sciences Core-Analysis
