VW - CVM 1.1

The Group p4

	Generators:		t1, R4
	Relations:		t2 = R4 t1 R4-1, R42 = e
	Cell diagram:

Table: Four homomorphisms from p4

type	P(k) = -1	wallpaper type of kernel group, with remarks
p4	none	p4, same as the extended group
p4'	R4	p2 = {t1, t2, R42}
p'c4	t1	p4 = {t12, R4}; cell quadrupled
	t1 and Rc	same as above, i(R4) = t1 R4

The Group p4g Ways to Visualize Wallpaper Functions Why there are 63 Types The Algebra of Wallpapers The Group cmm