Maximal Compact Normal Subgroups and Pro-Lie Groups
نویسندگان
چکیده
منابع مشابه
Maximal Compact Normal Subgroups and Pro-lie Groups
We are concerned with conditions under which a locally compact group G has a maximal compact normal subgroup K and whether or not G/K is a Lie group. If G has small compact normal subgroups K such that G/K is a Lie group, then G is pro-Lie. If in G there is a collection of closed normal subgroups {Ha} such that f~| Ha = e and G/Ha is a Lie group for each a, then G is a residual Lie group. We de...
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induces an equivalence of Fp-homology [JMO, §§1-2]. This decomposition of BG, and the category Rp(G), play a central role in [JMO] and [JMO2] as a tool for describing sets of homotopy classes of maps fromBG to BH for any (other) compact connected Lie group H. But in most cases, explicit descriptions of the Rp(G), or explicit lists of the p-stubborn subgroups of G, were not necessary to obtain t...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1985
ISSN: 0002-9939
DOI: 10.2307/2044783