MATH 611 - Topics in Applied Abstract Algebra— Group Theory Applications

Topics include: Polya's enumeration theory; color patterns; Burnside and Polya's theorems; cycle index polynomial and color pattern inventory; number of nonisomoporphic graphs on n vertices with m edges. Symmetry of groups of wallpaper patterns (two-dimensional crystals): group of symmetries of a plane; wallpaper pattern groups; point groups; crystallographic restrictions; classification of nonequivalent WP groups; seventeen types of symmetry.

Prerequisites
Prereq: 513A or perm.

Credits: (5)

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