Notes on infinite permutation groups

DOI10.1007/BFb0092550zbMath0916.20002OpenAlexW635860770WikidataQ56269720 ScholiaQ56269720MaRDI QIDQ5967020

Meenaxi Bhattacharjee, Rögnvaldur G. Möller, Dugald Macpherson, Peter M. Neumann

Publication date: 8 December 1998

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0092550

zbMATH Keywords

symmetric groupsprimitive permutation groupswreath productslinear ordershomogeneous structuresrelational structureslinear groupsJordan setscyclic ordersbetweenness relationscyclic separation relationshighly transitive groupsJordan groupssemilinear orders

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) General theory for infinite permutation groups (20B07) Primitive groups (20B15) Ordered groups (group-theoretic aspects) (20F60) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Infinite automorphism groups (20B27) Characterization theorems for permutation groups (20B10) Multiply transitive infinite groups (20B22) Research exposition (monographs, survey articles) pertaining to group theory (20-02) Categoricity and completeness of theories (03C35)

Related Items (20)

Binary formulas in countably categorical weakly circularly minimal structures ⋮ C-minimality and model companions ⋮ Local finiteness, distinguishing numbers, and Tucker's conjecture ⋮ Permutation monoids and MB-homogeneity for graphs and relational structures ⋮ Set-homogeneous directed graphs ⋮ Algebras of binary formulas for weakly circularly minimal theories with trivial definable closure ⋮ ON COMMUTATIVITY OF CIRCULARLY ORDERED C-O-STABLE GROUPS ⋮ Algebras of binary formulas for weakly circularly minimal theories with non-trivial definable closure ⋮ THE REDUCTS OF THE HOMOGENEOUS BINARY BRANCHING C-RELATION ⋮ Permutation groups with cyclic-block property and $MNFC$-groups ⋮ Infinite primitive directed graphs ⋮ A survey of homogeneous structures ⋮ Two Fraïssé-style theorems for homomorphism-homogeneous relational structures ⋮ Groupoids with quasigroup and Latin square properties. ⋮ Non-crystallographic nets: characterization and first steps towards a classification ⋮ Bounding the distinguishing number of infinite graphs and permutation groups ⋮ Unnamed Item ⋮ Almost binarity of countably categorical weakly circularly minimal structures ⋮ Convexity Relations and Generalizations of o-Minimality ⋮ Groups covered by conjugates of proper subgroups.

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