Hostname: page-component-6bb9c88b65-zjgpb Total loading time: 0 Render date: 2025-07-26T19:38:53.787Z Has data issue: false hasContentIssue false
  • English
  • Français

Automorphism groups of a class of expanding attractors1

Published online by Cambridge University Press:  22 January 2016

Cem Tezer
Cem Tezer*
Affiliation:
Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Rights & Permissions [Opens in a new window]

Extract

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.

In the following, for any group G and any g ∈ G, Ad[g] stands for the inner automorphism defined by Ad[g] (x) = gxg−1 for any x ∈ G.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 134 , June 1994 , pp. 29 - 55
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1994

Footnotes

1

This work has been supported by the Turkish Council of Scientific and Technological Research.

References

[1] Boyle, M., Lind, D., Rudolph, D., The automorphism group of a shift of finite type, Trans. Amer. Math. Soc., 306 (1988), 71–114.CrossRefGoogle Scholar
[2] Boyle, M., Krieger, W., Periodic points and automorphisms of the shift, Trans. Amer. Math. Soc., 302 (1987), 125–149.Google Scholar
[3] Coven, E., Reddy, W., Positively expansive maps of compact manifolds, Lecture Notes in Math., 819 (1980), 96–110.Google Scholar
[4] Hedlund, G. A., Endomorphisms and automorphisms of the shift dynamical system, Math. Systems Theory, 3 (1969), 320–375.Google Scholar
[5] Hiraide, K., Positively expansive maps and growth of fundamental groups, Proc. Amer. Math. Soc., 104 (1988), 934–941.Google Scholar
[6] Krzyzewski, K., Szlenk, W., On invariant measures for expanding differentiable mappings, Studia Math., 33 (1960), 83–92.CrossRefGoogle Scholar
[7] Reddy, W. L., On positively expansive maps, Math. Systems Theory, 6 (1972), 76–81.Google Scholar
[8] Ryan, J. P., The shift and commutativity, Math. Systems Theory, 6 (1972), 82–85.CrossRefGoogle Scholar
[9] Shub, M., Endomorphisms of compact differentiable manifolds, Amer. J. Math., 91 (1969), 175–199.CrossRefGoogle Scholar
[10] Smale, S., Differentiable dynamical systems, Bull. Amer. Math. Soc., 73 (1967), 747–817.CrossRefGoogle Scholar
[11] Tezer, C., The shift on the inverse limit of a covering projection, Israel J. Math., 59 (1987), 129–149.Google Scholar
[12] Tezer, C., Shape classification of Klein-bottle-like continua, Quart. J. Math. Oxford Ser. (2), 40 (1989), 225–243.Google Scholar
[13] Tezer, C., On fixed points of dynamical systems, Proc Amer. Math. Soc., 110 (1990), 263–268.Google Scholar
[14] Williams, R. F., Classification of 1-dimensional attractors, Proc Sympos. Pure Math., Amer. Math. Soc Providence, R. I., 14 (1970), 341–361.Google Scholar
[15] Williams, R. F., Expanding attractors, Inst. Hautes Etudes Sci. Publ. Math., 43 (1974), 169–203.CrossRefGoogle Scholar