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SOL GEOMETRY GROUPS ARE NOT ASYNCHRONOUSLY AUTOMATIC

Published online by Cambridge University Press:  20 August 2001

NOEL BRADY
NOEL BRADY
Affiliation:
Mathematics Department, University of Oklahoma, Norman, OK 73019, USA, nbrady@math.ou.edu
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Abstract

Lattices in the 3-dimensional Lie group Sol are shown to be not asynchronously automatic. The proof consists of a combination of geometry and logical complexity arguments. 2000 Mathematics Subject Classification: 20F10, 20F16.

Keywords

automatic groupsSol geometry groupsasynchronously automatic
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 83 , Issue 1 , July 2001 , pp. 93 - 119
Copyright
2001 London Mathematical Society

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