It is shown that the number of classes of nonisometric lattices on the space of rational n-tuples is the same as the number of classes of n x n integral, symmetric, positive definite, unimodular matrices under integral congruence. A method is given to determine the number of classes of nonisometric lattices; this method is used to determine the number of classes for n↖ 16. A representative of each class of symmetric, integral, positive definite, unimodular 16x16 matrices is given. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/37971 |
| Date | January 1964 |
| Creators | Norton, Peter George |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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