02997nam 2200637 450 99646658390331620220820123929.03-540-69623-710.1007/BFb0094086(CKB)1000000000437339(SSID)ssj0000324447(PQKBManifestationID)12117202(PQKBTitleCode)TC0000324447(PQKBWorkID)10314195(PQKB)11245439(DE-He213)978-3-540-69623-0(MiAaPQ)EBC5610574(Au-PeEL)EBL5610574(OCoLC)1078997650(MiAaPQ)EBC6819128(Au-PeEL)EBL6819128(OCoLC)1287131515(PPN)155190644(EXLCZ)99100000000043733920220820d1997 uy 0engurnn#008mamaatxtccrLinear pro-p-groups of finite width /G. Klaas, C. R. Leedham-Green, W. Plesken1st ed. 1997.Berlin :Springer,[1997]©19971 online resource (VIII, 116 p.)Lecture notes in mathematics ;1674Bibliographic Level Mode of Issuance: Monograph3-540-63643-9 Includes bibliographical references (pages [109]-111) and index.Elementary properties of width -- p-adically simple groups -- Periodicity -- Chevalley groups -- Some classical groups -- Some thin groups -- Algorithms on fields -- Fields of small degree -- Algorithm for finding a filtration and the obliquity -- The theory behind the tables -- Tables -- Uncountably many just infinite pro-p-groups of finite width -- Some open problems.The normal subgroup structure of maximal pro-p-subgroups of rational points of algebraic groups over the p-adics and their characteristic p analogues are investigated. These groups have finite width, i.e. the indices of the sucessive terms of the lower central series are bounded since they become periodic. The richness of the lattice of normal subgroups is studied by the notion of obliquity. All just infinite maximal groups with Lie algebras up to dimension 14 and most Chevalley groups and classical groups in characteristic 0 and p are covered. The methods use computers in small cases and are purely theoretical for the infinite series using root systems or orders with involutions.Lecture notes in mathematics (Springer-Verlag) ;1674.Linear algebraic groupsLinear algebraic groups.512.5520G25mscKlaas G(Gundel),1967-61646Leedham-Green C. R(Charles Richard),1940-Plesken Wilhelm1950-MiAaPQMiAaPQMiAaPQBOOK996466583903316Linear pro-p-groups of finite width261830UNISA