VW - CVM 1.1

The Group pgg


	Generators:		B, R_c

	Relations:		B² = t₁, B_v = R_c B, B_v² = t₂, R_c² = e

	Cell diagram:

**Table:** Three homomorphisms from *pgg*
type	P(k) = -1	wallpaper type of kernel group, with remarks
pgg	none	pgg, same as the extended group
pg'g'	B	p2 = {t₁, t₂, R_c}
pgg'	R_c	pg = {t₁, B}
	B and R_c	same as above, i(B) = R_C B

	The Group cm
	Ways to Visualize Wallpaper Functions
	Why there are 63 Types
	The Algebra of Wallpapers
	The Group pmg

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