000 02903nam a22004815i 4500
001 978-3-540-69623-0
003 DE-He213
005 20190213151700.0
007 cr nn 008mamaa
008 121227s1997 gw | s |||| 0|eng d
020 _a9783540696230
_9978-3-540-69623-0
024 7 _a10.1007/BFb0094086
_2doi
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBG
_2thema
082 0 4 _a512.2
_223
100 1 _aKlaas, Gundel.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aLinear Pro-p-Groups of Finite Width
_h[electronic resource] /
_cby Gundel Klaas, Charles R. Leedham-Green, Wilhelm Plesken.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1997.
300 _aVIII, 116 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1674
505 0 _aElementary 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.
520 _aThe 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.
650 0 _aGroup theory.
650 1 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
700 1 _aLeedham-Green, Charles R.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aPlesken, Wilhelm.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662165942
776 0 8 _iPrinted edition:
_z9783540636434
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1674
856 4 0 _uhttps://doi.org/10.1007/BFb0094086
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11524
_d11524