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The Group p4

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

Table: Four homomorphisms from p4
type P(k) = -1 wallpaper type of kernel group, with remarks
p4 [Image] 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

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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