- Title
- Nonmeasurable subgroups of compact groups
- Creator
- Hernández, Salvador; Hofmann, Karl; Morris, Sidney
- Date
- 2016
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/99916
- Identifier
- vital:10444
- Identifier
-
https://doi.org/10.1515/jgth-2015-0034
- Identifier
- ISSN:1433-5883
- Abstract
- In 1985 S. Saeki and K. Stromberg published the following question: Does every infinite compact group have a subgroup which is not Haar measurable? An affirmative answer is given for all compact groups with the exception of some metric profinite groups which are almost perfect and strongly complete. In this spirit it is also shown that every compact group contains a non-Borel subgroup. © 2016 by De Gruyter 2016 Generalitat Valenciana PROMETEO/2014/062 We are grateful for our referee's useful comments. In particular, the suggestion that originally we had overlooked [Pacific J. Math. 116 (1985), 217-241] shortened the proof of Theorem 4.3 considerably.
- Publisher
- Walter de Gruyter GmbH
- Relation
- Journal of Group Theory Vol. 19, no. 1 (2016), p. 179-189
- Rights
- Copyright © 2016 by De Gruyter 2016 Generalitat Valenciana PROMETEO/2014/062
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; 0802 Computation Theory and Mathematics; Compact groups; Subgroups
- Full Text
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