Rips's tame-generation conjecture in positive characteristic
Rips's tame-generation conjecture in positive characteristic
Let be an infinite base field with characteristic , and let . Consider the polynomial ring and the automorphism
Rips's conjecture. Linear automorphisms, together with , generate the entire tame automorphism group of . The characteristic-zero analogue is known, while the positive-characteristic case has a subtle gap in the existing proof and remains open.
Sources & referencesView supporting material
Primary source
Alexei Belov-Kanel, Andrey Elishev and Jie-Tai Yu, “On Automorphisms of the Tame Polynomial Automorphism Group in Positive Characteristic”, arXiv:2103.12784 (2021).
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