Notes on infinite permutation groups. / / M. Bhattacharjee [and three others]

• Pubblicazione: Berlin, Germany : , : Springer-Verlag, , [1998]; ©1998
• Edizione: 1st ed. 1998.
• Descrizione fisica: 1 online resource (XIV, 206 p.)
• Disciplina: 512.2
• Soggetto topico: Mathematics; Group theory; Permutation groups
• Classificazione: 20B07
• Persona (resp. second.): BhattacharjeeM. <1965->
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: 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.
• Sommario/riassunto: 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 following topics are covered: transitivity and primitivity; symmetric groups and general linear groups; wreatch products; automorphism groups of various treelike objects; model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite primitive Jordan groups (surveyed); applications and open problems. With many examples and exercises, the book is intended primarily for a beginning graduate student in group theory.
• Titolo autorizzato: Notes on infinite permutation groups
• ISBN: 3-540-49813-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466621303316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1698.