Date of Award
8-1933
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics
First Advisor
R. G. Smith
Keywords
Murnaghan, Francis D. (Francis Dominic), 1893- Generalized Kronecker symbol and its application to the theory of determinants, Kronecker's product, Determinants
Abstract
The object of this thesis is to present a further generealization of Kronecker's symbol and apply it to cubic determinants.
Part I contains preliminary work on the Kronecker smbol as generliazed by Murnaghan, and applied to the plane determianntns. It includes only material that is necessary in the explanation of part II.
In part II we make a further generalization by defining a symbol composed of three rows of indices. The elementary properties of this symbol are given, the cubic determinant is define by means of the generalized symbol, and certain theorems on cubic determinants are demonstrated.
These theorems were selected from a list collected by Hedrick, giving references to the original articles by Padova, Armenanti, Garbieri, and others. [Taken from Introduction]
Recommended Citation
Campbell, Lota Lucile, "A Generalized Kronecker symbol and cubic determinants" (1933). Electronic Theses & Dissertations. 594.
https://digitalcommons.pittstate.edu/etd/594
