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Sequencing the dihedral groups D4k

✍ Scribed by Paul Li

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
226 KB
Volume
175
Category
Article
ISSN
0012-365X

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✦ Synopsis

A finite group is sequenceable if its elements can be listed in such a way that the partial products are distinct. The sequenceability of several classes of groups has previously been investigated. In particular, it has been shown [5] that the dihedral groups D. = (or, z l~r" = z 2 = 1, za = tr-lz), are sequenceable for n ~ 0 mod 4. In this note we show that D4k are sequenceable for k ~>4.

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