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References
Abramov, L. M., The entropy of an automorphism of a solenoidal group, Theory of Probability and its Applications, vol. 4 (1959), pp. 231–236 (English translation).
Adler, R. M.; Konheim, A. G.; McAndrew M. H., Topological entropy, Transactions of the American Mathematical Society, vol. 114 (1965), pp. 309–319.
Aoki, N., Topological entropy and measure for automorphisms on compact groups, Mathematical Systems Theory, vol. 5, (1971), pp. 4–7.
Arov, D. Z., Topological similitude of automorphisms and translations of compact commutative groups, Uspehi Mathematiceskih Nauk, vol. 18 (1963), no. 5 pp. 133–138 (Russian).
Artin, M.; Mazur, B., On periodic points, Annals of Mathematics, vol. 81 (1965), pp. 82–99.
Auslander, J.; Gottschalk, W. H., (editors) Topological dynamics, An international symposium, Benjamin, New York, 1968.
Eisenberg, M., Expansive automorphisms of finite dimensional vector spaces, Fundamenta Mathematicae, vol. 59 (1966), pp. 307–312.
Eisenberg, M., Expansive transformation semi groups of endomorphisms, Fundamenta Mathematicae, vol. 59 (1966), pp. 313–321.
Gottschalk, W. H.; Hedlund, G. A., Topological dynamics, American Mathematical Society Colloquium Publications, vol. 36. American Mathematical Society, Providence, 1955.
Hedlund, G. A., Endomorphisms and automorphisms of shift dynamical systems, Mathematical Systems Theory, vol. 3 (1969), pp. 320–375.
Helgason, S. Differential geometry and symmetric spaces, Academic Press, New York, 1962.
Hewitt, E.; Ross K. A.; Abstract harmonic analysis, vol. 1. Springer Verlag, Berlin; 1963.
Hofmann, K. H.; Mostert, P., Splitting in topological groups, Memoirs of the American Mathematical Society, no. 43. American Mathematical Society, Providence, 1963.
Keynes, H. B.; Robertson, J. B., Generators for topological entropy and expansiveness, Mathematical Systems Theory, vol, 3 (1969), pp. 51–59.
Lam, Ping-Fun, On expansive transformation groups, Transactions of the American Mathematical Society, vol. 150 (1970), pp. 131–138.
Montgomery, Deane; Zippin, Leo, Topological transformation groups, Interscience Tracts in Pure and Applied Mathematics, Tract 1, Interscience, New York, 1955.
Pontryagin, L., Topological groups, Princeton Mathematical Series, vol. 2. Princeton University Press, Princeton, 1939.
Reddy, William, The existence of expansive homeomorphisms on manifolds, Duke Mathematical Journal, vol. 32 (1965), pp. 494–509.
Smale, Stephen, Differentiable dynamical systems, Bulletin of the American Mathematical Society, vol. 73 (1967) pp. 747–817.
Walters, Peter, Introductory lectures on ergodic theory, lecture notes, University of Maryland, College Park, Maryland, 1970.
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Lawton, W. (1973). The structure of compact connected groups which admit an expansive automorphism. In: Beck, A. (eds) Recent Advances in Topological Dynamics. Lecture Notes in Mathematics, vol 318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061735
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DOI: https://doi.org/10.1007/BFb0061735
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