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THE FIRST-ORDER THEORY OF BRANCH GROUPS

Part of: Special aspects of infinite or finite groups Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  10 February 2016

JOHN S. WILSON
JOHN S. WILSON*
Affiliation:
Mathematical Institute, Oxford OX2 6GG, UK email John.Wilson@maths.ox.ac.uk
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Abstract

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It is shown that for many branch groups $G$ the action on the ambient tree can be interpreted in $G$, in the sense of first-order model theory.

Keywords

branch grouprooted treeinterpretation

MSC classification

Primary: 20E08: Groups acting on trees
Secondary: 20E26: Residual properties and generalizations; residually finite groups 20F10: Word problems, other decision problems, connections with logic and automata
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 102 , Issue 1 , February 2017 , pp. 150 - 158
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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