On flag-transitive anomalous -geometries.
Yoshiara, Satoshi, Pasini, Antonio (1993)
Beiträge zur Algebra und Geometrie
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Yoshiara, Satoshi, Pasini, Antonio (1993)
Beiträge zur Algebra und Geometrie
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T. K. Subrahmonian Moothathu (2013)
Colloquium Mathematicae
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We establish that for a fairly general class of topologically transitive dynamical systems, the set of non-transitive points is very small when the rate of transitivity is very high. The notion of smallness that we consider here is that of σ-porosity, and in particular we show that the set of non-transitive points is σ-porous for any subshift that is a factor of a transitive subshift of finite type, and for the tent map of [0,1]. The result extends to some finite-to-one factor systems....
Alberto Del Fra (1995)
Forum mathematicum
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László Babai (1981/82)
Inventiones mathematicae
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Buekenhout, F., Dehaye, P.-O., Leemans, D. (2003)
Beiträge zur Algebra und Geometrie
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T.C. Holyoke (1954)
Mathematische Zeitschrift
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H. Zantema, A.M. Cohen (1984)
Journal für die reine und angewandte Mathematik
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Ascher Wagner (1964)
Mathematische Zeitschrift
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Martin W. Liebeck (1980)
Mathematische Zeitschrift
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Huybrechts, Cécile, Pasini, Antonio (1999)
Beiträge zur Algebra und Geometrie
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Zhu, Zuo-Tong, Huang Zhenyu (1999)
Czechoslovak Mathematical Journal
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We give some necessary and sufficient conditions for transitive -permutation groups to be -transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive -permutation groups to be normal-valued.