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The Group p2

Generators: t1, t2, R
Relations: R2 = 0
Cell diagram: [Image]

Table: Three homomorphisms from p2
type P(k) = -1 wallpaper type of kernel group, with remarks
p2 [Image] none p2, same as the extended group
p2' [Image] R p1
  R and t1 not a new type; i(R) = R t1
  R and t2 not a new type, i(R) = R t2
p'b2 [Image] t1 p2 = {t12, t2, R}; doubled cell
  t2 not a new type, interchange t1 and t2
  t1 and t2 not a new type; i (t1) = t1t2
  R, t1 and t2 same as above, with i(R) = R t1

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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 9:26:31 AM
Comments to: CVM@maa.org