Generic subgroups of locally compact groups

Jörg Winkelmann

Abstract.

We investigate properties of generically choosen finitely generated subgroups of locally compact groups. In particular we ask whether discreteness is generic.

For real Lie groups, this article surveys results obtained before in my earlier articles ("Generic subgroups of Lie Groups" and "How Frequent Are Discrete Cyclic Subgroups of Semisimple Lie Groups?" ). In addition, the article presents some new results concerning the case where the locally compact group is an algebraic group over a non-archimedean local field.


Download as dvi or ps file.

To Appear:
In the proceedings for the conference in the honour of the 60th birthday of Prof. Soji Kaneyuki.


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