Weak Cayley Table Groups of Wallpaper Groups

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.

Bibliographic Details
Main Author: Paulsen, Rebeca Ann
Format: Others
Published: BYU ScholarsArchive 2016
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/6263
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=7263&context=etd