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• W2119162494 abstract "iv 1 Preliminaries 1 1.1 Order Isomorphism and Involvement . . . . . . . . . . . . . . 2 1.2 Closed Classes and Pattern Avoidance . . . . . . . . . . . . . 3 1.3 Permutation and Class Types . . . . . . . . . . . . . . . . . . 8 1.3.1 Simple Permutations . . . . . . . . . . . . . . . . . . . 14 1.4 Sub() Representation and Atomic Classes . . . . . . . . . . . 15 1.4.1 Natural Classes . . . . . . . . . . . . . . . . . . . . . . 17 2 Constructions 18 2.1 Intersection . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.2 Union . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2.3 Direct and Skew Sums . . . . . . . . . . . . . . . . . . . . . . 20 2.4 Juxtaposition . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 2.5 Merges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 2.6 Differentiation . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2.7 Profile Classes . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.7.1 Skew and Strong Profiles . . . . . . . . . . . . . . . . 32 2.8 The Wreath Product . . . . . . . . . . . . . . . . . . . . . . . 34 2.8.1 Wreath Closure . . . . . . . . . . . . . . . . . . . . . . 36" @default.
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• W2119162494 date "2004-01-01" @default.
• W2119162494 modified "2023-09-27" @default.
• W2119162494 title "Pattern Classes of Permutations: Constructions, Atomicity and the Finite Basis Property" @default.
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