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The Group pgg

Generators: B, Rc
Relations: B2 = t1, Bv = Rc B, Bv2 = t2, Rc2 = e
Cell diagram: [Image]

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

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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: 18 Aug 1998 23:59:59
Comments to: CVM@maa.org