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1. On the isotropic group of a homogeneous polynomial

Author

Siu Ming Ho

Subjects
Combinatorics, Pure mathematics, Group (mathematics), Applied Mathematics, General Mathematics, Homogeneous polynomial, Isotropy, Mathematics
Abstract

Let G be the linear group leaving a homogeneous polynomial of degree k fixed. The author shows that either the polynomial is a polynomial in fewer than the assigned number of variables or that the ( k − 1 ) (k - 1) st prolongation of G is 0. The author also shows that this result is optimal.

Published
1973
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