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Date of Award


Document Type


Degree Name

Master of Science (M.S.)


Graduate Studies

First Advisor

Robert L. Anderson

First Committee Member

George Bluman

Second Committee Member

Carl E. Wulfman

Third Committee Member

Roland B. diFranco


This work concerns two new theorems which count the maximum possible number of independent generators of a certain form which leave an ordinary differential equation of second or third order covariant. Sophus Lic has derived such theorems for a particular class of transformations. The new theorems contain Lic’s theorems as a suboase, and are therefore called ‘generalized” theorems.