02987nam 2200637 450 99646662130331620220911152540.03-540-49813-310.1007/BFb0092550(CKB)1000000000437314(SSID)ssj0000325270(PQKBManifestationID)12071129(PQKBTitleCode)TC0000325270(PQKBWorkID)10323604(PQKB)10142344(DE-He213)978-3-540-49813-1(MiAaPQ)EBC5578723(Au-PeEL)EBL5578723(OCoLC)1066199022(MiAaPQ)EBC6842175(Au-PeEL)EBL6842175(PPN)155191527(EXLCZ)99100000000043731420220911d1998 uy 0engurnn#008mamaatxtccrNotes on infinite permutation groups. /M. Bhattacharjee [and three others]1st ed. 1998.Berlin, Germany :Springer-Verlag,[1998]©19981 online resource (XIV, 206 p.)Lecture Notes in Mathematics ;1698Bibliographic Level Mode of Issuance: Monograph3-540-64965-4 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.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.Lecture notes in mathematics (Springer-Verlag) ;1698.MathematicsGroup theoryPermutation groupsMathematics.Group theory.Permutation groups.512.220B07mscBhattacharjee M.1965-MiAaPQMiAaPQMiAaPQBOOK996466621303316Notes on infinite permutation groups1427133UNISA