Sequencings and starters

Bruce Allem Anderson

Vol. 64 (1976), No. 1, 17–24

DOI: 10.2140/pjm.1976.64.17

Abstract

B. Gordon characterized sequenceable Abelian groups as those Abelian groups with a unique element of order 2. In this paper Gordon’s argument is generalized to prove that there are non-Abelian sequenceable groups of arbitrarily large even order. It is also noted that the sequencings described by Gordon are related to 1-factorizations of complete graphs and to Howell Designs.

Mathematical Subject Classification 2000

Primary: 05C25

Secondary: 06A60

Milestones

Received: 30 July 1975

Published: 1 May 1976