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International conference "Birational and affine geometry"
April 24, 2012 13:30, Moscow, Steklov Mathematical Institute of RAS
 


Amalgamations and automorphism groups

D. Wright

Department of Mathematics, Washington University in St. Louis
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D. Wright
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Abstract: We review some facts about automorphism groups over polynomial rings. It is shown the the tame subgroup of the group of polynomials automorphisms of affine 3-space can be realized as the product of three subgroups, amalgamated along pairwise intersections, in a manner that generalizes the well-known amalgamated free product structure in dimension 2. The result follows from the defining relations for the tame subgroup given by U. U. Umirbaev.

Language: English

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