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 - Open Access

Copyright

Copyright by the authors.

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