MATH 3560

Groups and Geometry

Course Description

Course information provided by the Courses of Study 2015-2016.

A geometric introduction to the algebraic theory of groups, through the study of symmetries of planar patterns and 3-dimensional regular polyhedra. Besides studying these algebraic and geometric objects themselves, the course also provides an introduction to abstract mathematical thinking and mathematical proofs, serving as a bridge to the more advanced 4000-level courses. Abstract concepts covered include: axioms for groups; subgroups and quotient groups; isomorphisms and homomorphisms; conjugacy; group actions, orbits, and stabilizers. These are all illustrated concretely through the visual medium of geometry.

When Offered Spring.

Prerequisites/Corequisites Prerequisite: MATH 2210, MATH 2230, MATH 2310, or MATH 2940. Prior knowledge of group theory is not a prerequisite.

Distribution Category (MQR)

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