rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Algebraic Groups and Lie Groups with Few Factors
  name:
    name part: Bartolo, Alfonso Di.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Falcone, Giovanni.
    role:
      role term: author.
  name:
    name part: Plaumann, Peter.
    role:
      role term: author.
  name:
    name part: Strambach, Karl.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2008
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 212 p. online resource.
  abstract: Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type. In particular, the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero is emphasized. This is revealed by the plethora of three-dimensional unipotent algebraic groups over a perfect field of positive characteristic, as well as, by many concrete examples which cover an area systematically. In the final section, algebraic groups and Lie groups having many closed normal subgroups are determined.
  table of contents: Prerequisites -- Extensions -- Groups of Extreme Nilpotency Class -- Chains -- Groups with Few Types of Isogenous Factors -- Three-Dimensional Affine Groups -- Normality of Subgroups.
  note: by Alfonso Di Bartolo, Giovanni Falcone, Peter Plaumann, Karl Strambach.
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Group theory
  subject:
    topic: Nonassociative rings
  subject:
    topic: Rings (Algebra)
  subject:
    topic: Topological groups
  subject:
    topic: Lie groups
  subject:
    topic: Mathematics
  subject:
    topic: Group Theory and Generalizations
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Topological Groups, Lie Groups
  subject:
    topic: Non-associative Rings and Algebras
  classification: QA174-183
  classification: 512.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 1944
  identifier: 9783540785842
  identifier: http://dx.doi.org/10.1007/978-3-540-78584-2
  record info:
    record creation date: 100301
    record change date: 20151123150809.0
    record identifier: 978-3-540-78584-2