【摘 要】
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Many types of automorphism groups in algebra have nice structures arising from actions on combinatoric spaces.We review some examples including Nagatas Theo
【机 构】
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Washington University in St. Louis,USA
【出 处】
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International Short-School/Conference on Affine Algebraic Ge
论文部分内容阅读
Many types of automorphism groups in algebra have nice structures arising from actions on combinatoric spaces.We review some examples including Nagatas Theorem and the Jung-Van der Kulk Theorem.For K a field of characteristic zero,It is shown the the tame subgroup TA3(K)of the group GA3(K)of polynomials automorphisms of A3K can be realized as a generalized amalgamated product,specifically,the product of three subgroups,amalgamated along pairwise intersections,in a manner that generalizes the well-known amalgamated free product structure of TA2(K)(which coincides with GA2(K)by Jungs Theorem).The result follows from defining relations for TA3(K)given by U.U.Umirbaev.
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