Compactness properties of locally compact groups |
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| Authors: | H Abels A Tiemeyer |
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| Institution: | (1) Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D 33501 Bielefeld, Germany;(2) Israel Development Center, Intel Israel (74) ltd., P.O. Box 1659, 31015 Haifa, Israel |
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| Abstract: | Compactness propertiesC
n
andC P
n
for locally compact groupsG are introduced generalizing the finiteness propertiesF
n
andF P
n
for discrete groups. The propertyC
1 resp.C
2 is equivalent withG having a compact set of generators, resp. having a compact presentation. Some basic properties of the compactness propertiesC
n
are shown. A local-global principle is proved by the second named author in the adjacent paper of this volume. |
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| Keywords: | |
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