The structure of symmetry groups of almost perfect one factorizations

Authors
Duncan, D Ihrig, E
Citation
D. Duncan et E. Ihrig, The structure of symmetry groups of almost perfect one factorizations, R MT J MATH, 30(2), 2000, pp. 529-554
Citations number
8
Categorie Soggetti
Mathematics
Journal title
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN journal
00357596 → ACNP
Volume
30
Issue
2
Year of publication
2000
Pages
529 - 554
Database
ISI
SICI code
0035-7596(200022)30:2<529:TSOSGO>2.0.ZU;2-8
Abstract
The concept of j-perfection of a one factorization is introduced. A one fac torization is perfect if and only if it is 2-perfect. We call 3-perfect one factorizations almost perfect one-factorizations (or APOFs). First we give some general results concerning the automorphism groups of j-perfect one f actorizations, and then we classify all APOFs which have more than one auto morphism of order two with fixed points. Several structure theorems for the automorphism groups of APOFs are also given.