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Groups of automorphisms of totally ordered sets: techniques, model theory and applications to decision problems. (English) Zbl 1436.06045

Droste, Manfred (ed.) et al., Groups, modules, and model theory – surveys and recent developments. In Memory of Rüdiger Göbel. Proceedings of the conference on new pathways between group theory and model theory, Mülheim an der Ruhr, Germany, February 1–4, 2016. Cham: Springer. 109-134 (2017).
Summary: This is a survey of topics likely to be of interest to algebraists in general. It has been written accordingly.
For the entire collection see [Zbl 1372.20003].

MSC:

06F15 Ordered groups
20B27 Infinite automorphism groups
03C60 Model-theoretic algebra
03C64 Model theory of ordered structures; o-minimality
20F10 Word problems, other decision problems, connections with logic and automata (group-theoretic aspects)
Full Text: DOI

References:

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