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ON THE STEINHAUS AND BERGMAN PROPERTIES FOR INFINITE PRODUCTS OF FINITE GROUPS

SIMON THOMAS

Mathematics Department, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA

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and

JINDŘICH ZAPLETAL

Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic

Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA

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https://doi.org/10.1142/S1793744212500028Cited by:5 (Source: Crossref)

Abstract

We study the relationship between the existence of nonprincipal ultrafilters over ω and the failure of the automatic continuity, Steinhaus and Bergman properties for infinite products of finite groups.

Keywords:

AMSC: 03E02, 03E25, 20A15

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