منابع مشابه
Galois Theory of Iterated Endomorphisms
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Abstract. We present a systematic way to generate critically finite endomorphisms of Pn. These maps arise in the context of Teichmüller theory, specifically in Thurston’s topological characterization of rational maps. The dynamical objects for the endomorphisms correspond to central objects from Thurston’s theorem. Our theorems build infinitely many of these endomorphisms; in fact, a large numb...
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Shereshevsky has shown that a shift–commuting homeomorphism from the two–dimensional full shift to itself cannot be expansive, and asked if such a homeomorphism can have finite positive entropy. We formulate an algebraic analogue of this problem, and answer it in a special case by proving the following: if T : X → X is a mixing endomorphism of a compact metrizable abelian group X, and T commute...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1978
ISSN: 0021-8693
DOI: 10.1016/0021-8693(78)90224-7