Editor-in-Chief: Wilson, John S.
Managing Editor: Howie, James / Kramer, Linus / Parker, Christopher W.
Editorial Board Member: Abért, Miklós / Borovik, Alexandre V. / Boston, Nigel / Bridson, Martin R. / Caprace, Pierre-Emmanuel / Giovanni, Francesco / Guralnick, Robert / Jaikin Zapirain, Andrei / Kessar, Radha / Khukhro, Evgenii I. / Kochloukova, Dessislava H. / Malle, Gunter / Olshanskii, Alexander / Remy, Bertrand / Robinson, Derek J.S. / Willis, George
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1 Miklós Abért, Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, IL 60637-1514, U.S.A. E-mail: abert@math.uchicago.edu
Citation Information: Journal of Group Theory. Volume 11, Issue 4, Pages 545–553, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/JGT.2008.033, July 2008
We show that it is consistent with the axioms of set theory that every infinite profinite group G possesses a closed subset X of Haar measure zero such that less than continuum many left translates of X cover G. This answers a question of Elekes and Tóth and by their work settles the problem for all infinite compact topological groups.
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