- Title
- The weights of closed subgroups of a locally compact group
- Creator
- Hernández, Salvador; Hofmann, Karl; Morris, Sidney
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/60676
- Identifier
- vital:4847
- Identifier
-
https://doi.org/10.1515/jgt-2012-0012
- Identifier
- ISSN:1433-5883
- Abstract
- Let G be an infinite locally compact group and let n be a cardinal satisfying n 0 ≤ n ≤ w(G) for the weight w(G) of G. It is shown that there is a closed subgroup N of G with w(N) = n. Sample consequences are: (1) Every infinite compact group contains an infinite closed metric subgroup. (2) For a locally compact group G and n a cardinal satisfying n 0 ≤ n ≤ w
- Relation
- Journal of Group Theory Vol. 15, no. 5 (2012), p. 613-630
- Rights
- Copyright 2012 de Gruyter
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; 0802 Computation Theory and Mathematics; Infinite locally compact goup; Infinite closed metric subgroup
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