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On r*-sequenceability and symmetric harmoniousness of groups. II

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

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
389 KB
Volume
3
Category
Article
ISSN
1063-8539

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โœฆ Synopsis

In this paper we investigate symmetric harmoniousness of groups and connections of this concept to the R*-sequenceability of groups. We prove that, under suitable assumptions, the direct product of a symmetric harmonious group with a group that is R*-sequenceable is R*-sequenceable; we discuss the symmetric harmoniousness of abelian and of nilpotent groups; we also prove that, for a fixed odd prime p, all but possibly finitely many of the nonabelian groups of order pq (q prime, q = 1 (mod p)) are symmetric harmonious. o 1995 John Wiley & Sons, Inc.

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