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Tame Automorphisms Fixing a Variable of Free Associative Algebras of Rank Three

Vesselin Drensky·Jie-Tai Yu
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Abstract

We study automorphisms of the free associative algebra K over a field K which fix the variable z. We describe the structure of the group of z-tame automorphisms and derive algorithms which recognize z-tame automorphisms and z-tame coordinates.

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Vesselin Drensky, Jie-Tai Yu. 2006-05-02. Tame Automorphisms Fixing a Variable of Free Associative Algebras of Rank Three. https://arxiv.org/abs/math/0605044

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