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The Group p1

Generators: t1, t2
Relations: none
Cell diagram: [Image]

Table: Two homomorphisms from p1
type P(k) = -1 wallpaper type of kernel group, with remarks
p1 [Image] none p1, same as the extended group
p'b1 [Image] t1 p1 = {t12,t2}; doubled cell
  t2 not a new type, interchange t1 and t2
  t1 and t2 not a new type, i(t1) = t1 t2

[Next] The Group p2
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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: Sep 30, 2003 9:26:28 AM
Comments to: CVM@maa.org