Geodesic
Remarks on compactifications of pseudofinite groups
Anand Pillay1
1 Department of Mathematics University of Notre Dame Notre Dame, IN 46556, U.S.A.
Fundamenta Mathematicae, Tome 236 (2017) no. 2, pp. 193-200

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We discuss the Bohr compactification of a pseudofinite group, motivated by a question of Boris Zilber. We point out that (i) the Bohr compactification of an ultraproduct of finite simple groups is trivial, and (ii) the “definable” Bohr compactification of any pseudofinite group $G$, relative to an ambient nonstandard model of set theory in which $G$ is definable, is commutative-by-profinite.
DOI : 10.4064/fm275-7-2016
Keywords: discuss bohr compactification pseudofinite group motivated question boris zilber point out bohr compactification ultraproduct finite simple groups trivial definable bohr compactification pseudofinite group relative ambient nonstandard model set theory which definable commutative by profinite

Anand Pillay 1

1 Department of Mathematics University of Notre Dame Notre Dame, IN 46556, U.S.A. 
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Anand Pillay. Remarks on compactifications of pseudofinite groups. Fundamenta Mathematicae, Tome 236 (2017) no. 2, pp. 193-200. doi: 10.4064/fm275-7-2016

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