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The Group cm

Generators: d, Mx
Relations: d' = Mx d Mx-1, t1 = d'd-1, t2 = d'd
Cell diagram: [Image]

Table: Four homomorphisms from cm
type P(k) = -1 wallpaper type of kernel group, with remarks
cm [Image] none cm, same as the extended group
cm' Mx p1
p'cm d pm = {t1, t2, Mx}; cell doubled
p'cg [Image] Mx and d pg = {t1, t2, Mx d}; cell doubled

[Next] The Group cmm
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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