Abstract
LetG be a locally compact group acting on a topological space. Here we define some boundedness conditions for the action. For a nondiscrete locally compact vector spaceV andg∈G L (V), layering structures forV and the projective spaceP (V) ofV are obtained. From the layering structures, we derive then density properties of subgroups ofG with boundedness conditions. We generalize the Borel density theorem and Prasad's theorem on automorphisms of algebraic semi-simple groups. Some new results onp-adic groups are added.
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Partially supported by N. S. F. Grant 7702168.
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Wang, S.P. On density properties of certain subgroups with boundedness conditions. Monatshefte für Mathematik 89, 141–162 (1980). https://doi.org/10.1007/BF01476592
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DOI: https://doi.org/10.1007/BF01476592