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MATH 335 Groups, Tilings and Algorithms (3 credits)

Offered by: Mathematics and Statistics (Faculty of Science)

Overview

Mathematics & Statistics (Sci) : Transformation groups of the plane. Inversions and Moebius transformations. The hyperbolic plane. Tilings in dimension 2 and 3. Group presentations and Cayley graphs. Free groups and Schreier's theorem. Coxeter groups. Dehn's Word and Conjugacy Problems. Undecidability of the Word Problem for semigroups. Regular languages and automatic groups. Automaticity of Coxeter groups.

Terms: This course is not scheduled for the 2024-2025 academic year.

Instructors: There are no professors associated with this course for the 2024-2025 academic year.

  • Prerequisites: MATH 235

  • Restriction(s): Not open to students who have taken or are taking MATH 365.

  • Note: This course is intended primarily for students in the Major Program in Mathematics and the Joint Major Program in Mathematics and Computer Science.

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