Decisive subgroups of analytic groups

Author:
T. Christine Stevens

Journal:
Trans. Amer. Math. Soc. **274** (1982), 101-108

MSC:
Primary 22E15; Secondary 54A10

MathSciNet review:
670922

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Abstract: It is known that every analytic group contains a closed abelian subgroup which is "decisive" in the sense that the Hausdorff topologies for which are weaker than are completely determined by their restrictions to . We show here that must ordinarily contain the entire center of but that the rest of can in general be reduced. The proof involves constructing "unusual" topologies for abelian Lie groups.

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DOI:
http://dx.doi.org/10.1090/S0002-9947-1982-0670922-9

Keywords:
Analytic group,
Lie group,
(CA) analytic group

Article copyright:
© Copyright 1982
American Mathematical Society