02953nam 2200637 450 99646649210331620220908155032.03-540-47198-710.1007/BFb0079708(CKB)1000000000437544(SSID)ssj0000323153(PQKBManifestationID)12099165(PQKBTitleCode)TC0000323153(PQKBWorkID)10312539(PQKB)11008399(DE-He213)978-3-540-47198-1(MiAaPQ)EBC5585059(Au-PeEL)EBL5585059(OCoLC)1066178901(MiAaPQ)EBC6842255(Au-PeEL)EBL6842255(PPN)155228021(EXLCZ)99100000000043754420220908d1987 uy 0engurnn|008mamaatxtccrFinite presentability of S-arithmetic groups compact presentability of solvable groups /Herbert Abels1st ed. 1987.Berlin, Germany ;New York, New York :Springer-Verlag,[1987]©19871 online resource (VI, 182 p.) Lecture Notes in Mathematics,0075-8434 ;1261Bibliographic Level Mode of Issuance: Monograph0-387-17975-5 3-540-17975-5 Compact presentability and contracting automorphisms -- Filtrations of Lie algebras and groups -- A necessary condition for compact presentability -- Implications of the necessary condition -- The second homology -- S-arithmetic groups -- S-arithmetic solvable groups.The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of #3. For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact presentability. Most of this monograph deals with this question. The necessary background material and the general framework in which the problem arises are given partly in a detailed account, partly in survey form. In the last two chapters the application to S-arithmetic groups is given: here the reader is assumed to have some background in algebraic and arithmetic group. The book will be of interest to readers working on infinite groups, topological groups, and algebraic and arithmetic groups.Lecture Notes in Mathematics,0075-8434 ;1261Arithmetic groupsLie groupsLinear algebraic groupsArithmetic groups.Lie groups.Linear algebraic groups.512.2Abels Herbert1941-54207MiAaPQMiAaPQMiAaPQBOOK996466492103316Finite presentability of S-arithmetic groups78545UNISA