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Polynomial Invariants of Finite Linear Groups of Degree Two

Published online by Cambridge University Press:  20 November 2018

W. Cary Huffman
W. Cary Huffman*
Affiliation:
Loyola University, Chicago, Illinois
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Recently invariant theory of linear groups has been used to determine the structure of several weight enumerators of codes. Under certain conditions on the code, the weight enumerator is invariant under a finite group of matrices. Once all the polynomial invariants of this group are known, the form of the weight enumerator is restricted and often useful results about the existence and structure of codes can be found. (See [5], [8], [14], and [15].) Many of the groups in these applications are of degree 2; in this paper all the invariants of finite 2 X 2 matrix groups over C are determined.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 32 , Issue 2 , February 1980 , pp. 317 - 330
Copyright
Copyright © Canadian Mathematical Society 1980

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