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Defining relations for tame automorphism groups of polynomial rings and wild automorphisms of free associative algebras

โœ Scribed by U. U. Umirbaev

Book ID
111454089
Publisher
SP MAIK Nauka/Interperiodica
Year
2006
Tongue
English
Weight
131 KB
Volume
73
Category
Article
ISSN
1064-5624

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๐Ÿ“œ SIMILAR VOLUMES

Defining relations of the tame automorph
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We describe a set of defining relations of the tame automorphism group TA 3 รฐF รž of the polynomial algebra F ยฝx 1 ; x 2 ; x 3 in variables x 1 , x 2 , x 3 over an arbitrary field F of characteristic 0.

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In this paper we consider test polynomials in the polynomial algebra and the free associative algebra. A test polynomial is defined by the following property: every endomorphism which fixes the polynomial is an automorphism. We construct families of test polynomials for the polynomial algebra and th