Abstract

Let G be a group. A Weak Cayley Table mapping ϕ : G → G is a bijection such that ϕ(g1g2) is conjugate to ϕ(g1)ϕ(g2) for all g1, g2 in G. The set of all such mappings forms a group W(G) under composition. We study W(G) for the seventeen wallpaper groups G.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2016-06-01

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd8819

Keywords

wallpaper groups, weak cayley table isomorphisms

Included in

Mathematics Commons

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