03121nam 22006495 450 991014629420332120250801064800.03-540-69623-710.1007/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)99100000000043733920121227d1997 u| 0engurnn#008mamaatxtccrLinear Pro-p-Groups of Finite Width /by Gundel Klaas, Charles R. Leedham-Green, Wilhelm Plesken1st ed. 1997.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1997.1 online resource (VIII, 116 p.)Lecture Notes in Mathematics,1617-9692 ;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,1617-9692 ;1674Group theoryGroup Theory and GeneralizationsGroup theory.Group Theory and Generalizations.512.5520G25mscKlaas G(Gundel),1967-61646Leedham-Green C. R(Charles Richard),1940-Plesken Wilhelm1950-MiAaPQMiAaPQMiAaPQBOOK9910146294203321Linear pro-p-groups of finite width261830UNINA