Continuous homomorphisms of R onto a compact group
β Scribed by Douglas Bridges; Matthew Hendtlass
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 111 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0044-3050
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β¦ Synopsis
It is shown within Bishop's constructive mathematics that, under one extra, classically automatic, hypothesis, a continuous homomorphism from R onto a compact metric abelian group is periodic, but that the existence of the minimum value of the period is not derivable.
π SIMILAR VOLUMES
We call a non-trivial group \(G\) an M.B. group if \(G \times G\) is a homomorphic image of \(G\). In this paper several properties of M.B. groups are shown. Some connections are pointed to between these results and an unsolved problem of long-term standing concerning finitely presented groups. 1994
We study the number of homomorphisms from a finite group to a general linear group over a finite field. In particular, we give a generating function of such numbers. Then the Rogers-Ramanujan identities are applicable.