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

By Peter J. Cameron

The learn of permutation teams has consistently been heavily linked to that of hugely symmetric constructions. The gadgets thought of listed here are countably countless, yet have in basic terms finitely many various substructures of any given finite dimension. they're accurately these buildings that are made up our minds through first-order logical axioms including the belief of countability. This booklet matters such constructions, their substructures and their automorphism teams. quite a lot of recommendations are used: staff concept, combinatorics, Baire class and degree between them. The booklet arose from lectures given at a learn symposium and keeps their casual type, while together with in addition many contemporary effects from quite a few resources. It concludes with routines and unsolved study problems.

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Oligomorphic Permutation Groups (London Mathematical Society Lecture Note Series) by Peter J. Cameron


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