For every prime p, we construct a subgroup of Philip Hall's universal locally finite group which is both maximal and a p-group. This provides an example of a simple locally finite group with a maximal subgroup which is locally nilpotent. แฎ 1999 Academic Press G theme to a locally finite group G, fin
Products in the category of locales: which properties are preserved?
โ Scribed by Jan Paseka
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 656 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we are going to study the category of finitely regular locales. We shall show that any product of finitely regular locales with some covering property has this property as well.
As a partial result we have that any product of compact (paracompact) locales is compact (paracompact).
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