Abstract.
We prove that Higman's group does not embed into a metric ultraproduct of finite groups with a commutator-contractive invariant length function.

Editor-in-Chief: Wilson, John S.
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1Mathematisches Institut, Universität Leipzig, Johannisgasse 26, 04103 Leipzig, Germany
Citation Information: Journal of Group Theory. Volume 15, Issue 2, Pages 301–310, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/jgt.2011.102, March 2012
We prove that Higman's group does not embed into a metric ultraproduct of finite groups with a commutator-contractive invariant length function.
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