Notes on Infinite Permutation Groups

The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions. There is basic background in both group theory and the necessary model theory, and the followin...

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Bibliografiske detaljer
Auteurs principaux: Bhattacharjee, Meenaxi, 1965-, Neumann, Peter Michael (Auteur), Macpherson, Dugald, mathématicien (Auteur), Möller, Rögnvaldur G., 19..- (Auteur)
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in mathematics 1698
Fag:
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Notes on infinite permutation groups, M. Bhattacharjee, D. Macpherson, R. G. Möller, ... [et al.], 1998, Berlin, Springer, 1 vol. (XI-202 p.), Lecture notes in mathematics, 3-540-64965-4
• Notes on Infinite Permutation Groups, Texte imprimé, 9783662202050
Indholdsfortegnelse:
  • Some group theory
  • Groups acting on sets
  • Transitivity
  • Primitivity
  • Suborbits and orbitals
  • More about symmetric groups
  • Linear groups
  • Wreath products
  • Rational numbers
  • Jordan groups
  • Examples of Jordan groups
  • Relations related to betweenness
  • Classification theorems
  • Homogeneous structures
  • The Hrushovski construction
  • Applications and open questions.