Date of Award
5-5-1958
Degree Type
Master's Essay - Restricted
Degree Name
Master of Science (MS)
Department
Mathematics, Statistics and Computer Science
First Advisor
Harvey P. Pettit
Second Advisor
Clemens B. Hanneken
Abstract
In this paper we wish to study the subgroup I of isomorphisms of I generated by B. This may be done by studying the set S of matrices generated by the matrix B . Since the elements of B are taken modulo a prime p , we will see later that the set S will be a cyclic group which is isomorphic with I. We shall next study the set S for arbitrary n and where the elements of the matrices of S are not necessarily modulo a prime p .
Recommended Citation
Rumford, Robert H., "On a Certain Subgroup of the Group of Isomorphisms, I, of an Abelian Group of Order pn, and Type ( 1, 1, 1, • • • )" (1958). Master's Essays (1922 - ). 2786.
https://epublications.marquette.edu/essays/2786
Comments
An Essay Submitted to the Marquette University Graduate School in Partial Fulfillment of a Degree for a Masters in Science, Milwaukee, Wisconsin.