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/
BYU ScholarsArchive Citation
Paulsen, Rebeca Ann, "Weak Cayley Table Groups of Wallpaper Groups" (2016). Theses and Dissertations. 6263.
https://scholarsarchive.byu.edu/etd/6263
Date Submitted
2016-06-01
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd8819
Keywords
wallpaper groups, weak cayley table isomorphisms
Language
english