Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
8-2007
Committee Chair or Co-Chairs
Robert B. Gardner
Committee Members
Anant P. Godbole, Robert M. Price Jr.
Abstract
A Steiner triple system of order v, denoted STS(v), is said to be tricyclic if it admits an automorphism whose disjoint cyclic decomposition consists of three cycles. In this thesis we give necessary and sufficient conditions for the existence of a tricyclic STS(v) when one of the cycles is of length one. In this case, the STS(v) will contain a subsystem which admits an automorphism consisting of a fixed point and a single cycle. The subsystem is said to be 1-rotational.
Document Type
Thesis - unrestricted
Recommended Citation
Tran, Quan Duc, "Tricyclic Steiner Triple Systems with 1-Rotational Subsystems." (2007). Electronic Theses and Dissertations. Paper 2102. https://dc.etsu.edu/etd/2102
Copyright
Copyright by the authors.