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On R*-sequenceability and symmetric harmoniousness of groups

โœ Scribed by Cheng-De Wang; Philip A. Leonard

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
372 KB
Volume
2
Category
Article
ISSN
1063-8539

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โœฆ Synopsis

We introduce a special harmoniousness called symmetric harmoniousness of groups and extend the R*-sequenceability of abelian groups to nonabelian groups. We prove that the direct product of an R*-sequenceable group of even order with a symmetric harmonious group of odd order is R*-sequenceable. Examples of nonabelian R*-sequenceable groups and nonabelian symmetric harmonious groups are given. It is shown that the nonabelian groups of order 3q (q prime) are symmetric harmonious.

๐Ÿ“œ SIMILAR VOLUMES

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