Поступления иностранных книг в библиотеки ННЦ в 2003 г.
Институт математики |  |
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Cherlin G. Hrushovski E. Finite structures with few types. - Princeton: Princeton univ.Oxford, 2003. - VI, 193 p - (Annals of mathematics studies; N 152). (ISBN 0-691-11332-7) - Конечные структуры с несколькими типами.
Оглавление
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- This book applies model theoretic methods to the study of certain finite permutation groups, the automorphism groups of structures for a fixed finite language with a bounded number of orbits on 4-tuples. Primitive permutation groups of this type have been classified by Kantor, Liebeck, and Macpherson, using the classification of the finite simple groups.Building on this work, Gregory Cherlin and Ehud Hrushovski here treat the general case by developing analogs of the model theoretic methods of geometric stability theory. The work lies at the juncture of permutation group theory, model theory, classical geometries, and combinatorics.
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