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VOL. 75 | 2017 Amalgamations and automorphism groups
David Wright

Editor(s) Kayo Masuda, Takashi Kishimoto, Hideo Kojima, Masayoshi Miyanishi, Mikhail Zaidenberg

Abstract

Many types of automorphism groups in algebra have nice structures arising from actions on combinatoric spaces. We recount some examples including Nagao's Theorem, the Jung-Van der Kulk Theorem, and a new structure theorem for the tame subgroup $\text{TA}_3(K)$ of the group $\text{GA}_3(K)$ of polynomial automorphisms of $\mathbb{A}_K^3$, for $K$ a field of characteristic zero. We also ask whether a larger collection of automorphism groups possess a similar kind of structure.

Information

Published: 1 January 2017
First available in Project Euclid: 21 September 2018

zbMATH: 1396.14063
MathSciNet: MR3793373

Digital Object Identifier: 10.2969/aspm/07510465

Subjects:
Primary: 05E18, 14R20
Secondary: 13A50

Rights: Copyright © 2017 Mathematical Society of Japan

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