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Let M be a closed aspherical manifold and A a finite subgroup of the outer automorphism group Out 1M of 1M. A necessary (and in many cases also sufficient) condition for realising A by the induced action of an isomorphic group of homeomorphisms of M is the existence of an extension 11MEA1 to the abstract kernel (A,1M, AOut 1M). If the center of 1M is nontrivial, this condition need not be fulfilled ([14]). We showed in [25] however that one can always find a surjection BA of a finite group B with abelian kernel such that there exists an extension to the abstract kernel (B,1M,BAOut1M), and one can try to realize B instead of A. The main result of the present paper is a characterisation of all such groups B (for a given A) which can be realized by a group of homeomorphisms. The class of manifolds considered here consists of certain Seifert fiber spaces in arbitrary dimensions but the main result is purely algebraic and can be applied to other classes of manifolds, for example to flat Riemannian manifolds.  相似文献   

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For a linear fourth order ordinary differential operator M we study Range Domain Implications (RDI). Let Co [O,1] be positive; we show under what conditions there exists a CO[O,1] such that the following RDI holds: Mu(x) (x) (0x1) u(x) (0x1). In particular we provide a numerical procedure to calculate .RDI are used to obtain error estimations and to solve related nonlinear problems.The basic idea to prove RDI is to split M into a product of second order differential operators which are easier to handle. For the general case that there exists no global splitting the concept of a local splitting is introduced.

The author would like to thank the European Research Office of the United States Army for their kind interest.  相似文献   

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Every affine central collineation of a translation plane induces a special collineation of the projective space spanned by the spreadF belonging to . Here the relations between these special collineations of and certain incidence propositions inF are investigated; so new proofs are given for some characterisations of (A,B)-regular spreads included in [7].  相似文献   

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Ohne ZusammenfassungDie Durchführung dieser Arbeit wurde von der National Science Foundation unterstützt (Research Grant NSF-G 1423).  相似文献   

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