[Prev][Next][Skip][Up][UpUp][Top] VW - CVM 1.1 [Bib][Respond][Find][Help]


The Group cm

Generators: d, Mx
Relations: d' = Mx d Mx-1, t1 = d'd-1, t2 = d'd
Cell diagram: [Image]


Table: Four homomorphisms from cm
type P(k) = -1 wallpaper type of kernel group, with remarks
cm [Image] none cm, same as the extended group
cm' Mx p1
p'cm d pm = {t1, t2, Mx}; cell doubled
p'cg [Image] Mx and d pg = {t1, t2, Mx d}; cell doubled


[Next] The Group cmm
[Skip] Ways to Visualize Wallpaper Functions
[Up] Why there are 63 Types
[UpUp] The Algebra of Wallpapers
[Prev] The Group pgg
[Bib][Respond]
[Find][Help] 

Communications in Visual Mathematics, vol 1, no 1, August 1998.
Copyright © 1998, The Mathematical Association of America. All rights reserved.
Created: 08 Jul 1998 --- Last modified: 18 Aug 1998 23:59:59
Comments to: CVM@maa.org