Extensions of group theoretical properties
نویسندگان
چکیده
منابع مشابه
On Mixing Properties of Compact Group Extensions of Hyperbolic Systems
We study compact group extensions of hyperbolic diffeomorphisms. We relate mixing properties of such extensions with accessibility properties of their stable and unstable laminations. We show that generically the correlations decay faster than any power of time. In particular, this is always the case for ergodic semisimple extensions as well as for stably ergodic extensions of Anosov diffeomorp...
متن کاملStatistical Properties of Endomorphisms and Compact Group Extensions
The statistical properties of endomorphisms under the assumption that the associated Perron– Frobenius operator is quasicompact are considered. In particular, the central limit theorem, weak invariance principle and law of the iterated logarithm for sufficiently regular observations are examined. The approach clarifies the role of the usual assumptions of ergodicity, weak mixing, and exactness....
متن کاملErgodic Properties that Lift to Compact Group Extensions
Let T and R be measure preserving, T weakly mixing, R ergodic, and let S be conservative ergodic and nonsingular. Let T be a weakly mixing compact abelian group extension of T. UTxS is ergodic then T x S is ergodic. A corollary is a new proof that if T is mildly mixing then so is T. A similar statement holds for other ergodic multiplier properties. Now let T be a weakly mixing type a compact af...
متن کاملBAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS
A ring $R$ with an automorphism $sigma$ and a $sigma$-derivation $delta$ is called $delta$-quasi-Baer (resp., $sigma$-invariant quasi-Baer) if the right annihilator of every $delta$-ideal (resp., $sigma$-invariant ideal) of $R$ is generated by an idempotent, as a right ideal. In this paper, we study Baer and quasi-Baer properties of skew PBW extensions. More exactly, let $A=sigma(R)leftlangle x...
متن کاملGroup Actions and Group Extensions
In this paper we study finite group extensions represented by special cohomology classes. As an application, we obtain some restrictions on finite groups which can act freely on a product of spheres or on a product of real projective spaces. In particular, we prove that if (Z/p)r acts freely on (S1)k , then r ≤ k.
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1972
ISSN: 0019-2082
DOI: 10.1215/ijm/1256052379