Linear Pro-p-Groups of Finite Width

Linear Pro-p-Groups of Finite Width

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 pe...

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Κύριοι συγγραφείς: Klaas, Gundel (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Leedham-Green, Charles R. (http://id.loc.gov/vocabulary/relators/aut), Plesken, Wilhelm (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
Έκδοση:1st ed. 1997.
Σειρά:Lecture Notes in Mathematics, 1674
Θέματα:
Group theory.
Group Theory and Generalizations.
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.

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