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The Group p4g

Generators: R4, Me
Relations: t2 = R4 t1 R4-1 = (R4 Me)2, R44 = e, Me2 = e
Cell diagram: [Image]

Table: Four homomorphisms from p4g
type P(k) = -1 wallpaper type of kernel group, with remarks
p4g [Image] none p4g, same as the extended group
p4'g'm [Image] R4 cmm = {t1, Me, R42}
p4'gm' [Image] R4 and Me pgg = {t1, R42, R4 Me}
p4g'm' Me p4 = {t1, R4}

[Next] The Group p4m
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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