Abstract
In the article strongly nondegenerate (k, n)-quadrics all of whose linear automorphisms are of the formz→μz, ω → ¦μ¦2ω, μ ∈ ℂ {0} are considered. Quadrics all of whose linear automorphisms are of this form were calledc-rigid by V. Beloshapka. The main result of the article is the following: anyc-rigid strongly nondegenerate (k, n)-quadric has no nonlinear automorphisms. A table indicating the relationship between linear and nonlinear automorphisms for (k, n)-quadrics is presented.
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