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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Paulsen, Rebeca Ann, "Weak Cayley Table Groups of Wallpaper Groups" (2016). All Theses and Dissertations. 6263.
wallpaper groups, weak cayley table isomorphisms