Oligomorphic Permutation Groups (London Mathematical Society by Peter J. Cameron

By Peter J. Cameron

The learn of permutation teams has constantly been heavily linked to that of hugely symmetric buildings. The items thought of listed below are countably endless, yet have basically finitely many various substructures of any given finite measurement. they're accurately these buildings that are made up our minds by way of first-order logical axioms including the belief of countability. This e-book matters such constructions, their substructures and their automorphism teams. quite a lot of concepts are used: staff conception, combinatorics, Baire classification and degree between them. The publication arose from lectures given at a learn symposium and keeps their casual sort, while together with in addition many contemporary effects from various resources. It concludes with routines and unsolved study problems.

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Oligomorphic Permutation Groups (London Mathematical Society Lecture Note Series)

The research of permutation teams has consistently been heavily linked to that of hugely symmetric buildings. The items thought of listed below are countably countless, yet have in basic terms finitely many various substructures of any given finite dimension. they're accurately these constructions that are decided through first-order logical axioms including the belief of countability.

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