VW - CVM 1.1

The Group cm


	Generators:		d, M_x

	Relations:		d' = M_x d M_x^-1, t₁ = d'd^-1, t₂ = d'd

	Cell diagram:

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

	The Group cmm
	Ways to Visualize Wallpaper Functions
	Why there are 63 Types
	The Algebra of Wallpapers
	The Group pgg

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