Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-26T00:58:22.623Z Has data issue: false hasContentIssue false
  • English
  • Français

Which groups act distally?

Published online by Cambridge University Press:  19 September 2008

Herbert Abels
Herbert Abels
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, D-48 Bielefeld 1, West Germany
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The following question is discussed: which locally compact topological groups have an effective distal action on some compact metrizable space?

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 2 , June 1983 , pp. 167 - 185
Copyright
Copyright © Cambridge University Press 1983

References

REFERENCES

[1]Abels, H.. Distal affine transformation groups. J. reine angew. Math. 299/300 (1978), 294–300.Google Scholar
[2]Abels, H.. Distal automorphism groups of Lie groups. J. reine angew. Math. 329 (1981), 82–87.Google Scholar
[3]Auslander, L.. An exposition of the structure of solvmanifolds. Bull Amer. Math. Soc. 79 (1973), 227–285.Google Scholar
[4]Auslander, L., Green, L. & Hahn, F.. Flows on homogeneous spaces. Annals of Math. Studies 53. Princeton University Press: New Jersey, 1963.CrossRefGoogle Scholar
[5]Bredon, G. E.. Introduction to compact transformation groups. Academic Press: New York, 1972.Google Scholar
[6]Ellis, R.. Distal transformation groups. Pacific J. of Math. 8 (1958), 401–405.Google Scholar
[7]Furstenberg, H.. The structure of distal flows. Amer. J. Math. 85 (1963), 477–513.Google Scholar
[8]Higman, G.. A finitely generated infinite simple group. Proc. London Math. Soc. 26 (1951), 61–64.Google Scholar
[9]Hochschild, G.. The structure of Lie groups. Holden-Day, Inc: San Francisco, 1965.Google Scholar
[10]Knapp, A. W.. Distal functions on groups. Trans. Amer. Math. Soc. 128 (1967), 1–40.Google Scholar
[11]Malcev, A. I.. On faithful representations of infinite groups of matrices. Mat. Sb. 8 (1940), 405–422;Google Scholar
(AMS Transl. (2) 45 (1965), 1–18.Google Scholar
[12]Moore, C. & Zimmer, R.. Groups admitting ergodic actions with generalized discrete spectrum. Inv. math. 51 (1979), 171–188.Google Scholar
[13]Rosenblatt, J.. A distal property of groups and the growth of connected locally compact groups. Mathematika 26 (1979), 94–98.CrossRefGoogle Scholar
[14]Zimmer, R.. Ergodic actions with generalized discrete spectrum. Illinois J. Math. 20 (1976), 555–588.Google Scholar
[15]Zimmer, R.. Continuous ergodic extensions and fibre bundles. Can. J. Math. 30 (1978), 373–391.Google Scholar