000 | 02903nam a22004815i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/BFb0094086 _2doi |
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050 | 4 | _aQA174-183 | |
072 | 7 |
_aPBG _2bicssc |
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072 | 7 |
_aMAT002010 _2bisacsh |
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072 | 7 |
_aPBG _2thema |
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082 | 0 | 4 |
_a512.2 _223 |
100 | 1 |
_aKlaas, Gundel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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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. |
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300 |
_aVIII, 116 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1674 |
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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 |
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700 | 1 |
_aPlesken, Wilhelm. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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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 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0094086 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11524 _d11524 |