ON THE HARMONIOUSNESS OF DICYCLIC GROUPS

Authors
WANG CD
Citation
Cd. Wang, ON THE HARMONIOUSNESS OF DICYCLIC GROUPS, Discrete mathematics, 120(1-3), 1993, pp. 221-225
Citations number
6
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Discrete mathematics → ACNP
ISSN journal
0012365X
Volume
120
Issue
1-3
Year of publication
1993
Pages
221 - 225
Database
ISI
SICI code
0012-365X(1993)120:1-3<221:OTHODG>2.0.ZU;2-O
Abstract
A group is called harmonious if its elements can be arranged in a sequ ence such that the products of consecutive elements comprise all eleme nts of the group. We give a sufficient condition for the dicyclic grou p of order 4n to be harmonious and give a specific construction by whi ch the condition can be met when n is divisible by 4.