LEADER 03021nam 22006015 450 001 9910146306903321 005 20250731082228.0 010 $a3-540-49813-3 024 7 $a10.1007/BFb0092550 035 $a(CKB)1000000000437314 035 $a(SSID)ssj0000325270 035 $a(PQKBManifestationID)12071129 035 $a(PQKBTitleCode)TC0000325270 035 $a(PQKBWorkID)10323604 035 $a(PQKB)10142344 035 $a(DE-He213)978-3-540-49813-1 035 $a(MiAaPQ)EBC5578723 035 $a(Au-PeEL)EBL5578723 035 $a(OCoLC)1066199022 035 $a(MiAaPQ)EBC6842175 035 $a(Au-PeEL)EBL6842175 035 $a(PPN)155191527 035 $a(EXLCZ)991000000000437314 100 $a20121227d1998 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aNotes on Infinite Permutation Groups /$fby Meenaxi Bhattacharjee, Rögnvaldur G. Möller, Dugald Macpherson, Peter M. Neumann 205 $a1st ed. 1998. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1998. 215 $a1 online resource (XIV, 206 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1698 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-64965-4 327 $aSome 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. 330 $aThe book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions. There is basic background in both group theory and the necessary model theory, and the following topics are covered: transitivity and primitivity; symmetric groups and general linear groups; wreatch products; automorphism groups of various treelike objects; model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite primitive Jordan groups (surveyed); applications and open problems. With many examples and exercises, the book is intended primarily for a beginning graduate student in group theory. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1698 606 $aGroup theory 606 $aGroup Theory and Generalizations 615 0$aGroup theory. 615 14$aGroup Theory and Generalizations. 676 $a512.2 686 $a20B07$2msc 702 $aBhattacharjee$b M.$f1965- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146306903321 996 $aNotes on infinite permutation groups$91427133 997 $aUNINA