Pseudoprime factorizations of integer matrices |
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| Authors: | Dorothy Wallace Walker White |
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| Institution: | aDartmouth College, Department of Mathematics, Hanover, NH 03755, United States;bCornell University, Department of Computer Science, Ithaca, NY 14853, United States |
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| Abstract: | We give a method of factoring integer matrices in  into components such that the factorization is not unique unless certain information is known. In Section 2, we introduce this method of factorization and provide theorems which establish its well-definedness. In Section 3, we construct a matrix in  as a product of specific types of matrices and establish an algorithm for factoring the result uniquely given an amount of information. |
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| Keywords: | Integer matrices Factorization Modular group Matrix groups    sciencedirect " target="_blank">com/cache/MiamiImageURL/B6V0R-4S80D16-1-4/0?wchp=dGLbVlW-zSkzV" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=17 width="57"/> |
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