Advertisement

Journal of Mathematical Sciences

, Volume 95, Issue 2, pp 2065–2069 | Cite as

Garlands containing the general linear group over an intermediate field

  • Z. I. Borevich
  • V. A. Koibaev
  • I. V. Lavrent'ev
Article
  • 21 Downloads

Abstract

Let K/k be a finite extension of fields with an intermediate subfield L, and let H = GLL(K) be the general linear group of all L-linear invertible mappings of the vector space of the field K over L. It is proved that the subgroups lying between GLK(K)H and the normalizer of H in G, where G = GLk(K), form a garland. Bibliography: 4 titles.

Keywords

Vector Space Linear Group General Linear Group Finite Extension Invertible Mapping 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. H. Al-Hamad,Garlands in Linear Groups Related to Valuation Rings, Ph.D. thesis, St. Petersburg (1992).Google Scholar
  2. 2.
    E. Artin,Geometric Algebra, Interscience, New York (1957).Google Scholar
  3. 3.
    V. A. Koibaev, “The normalizer of the automorphism group of a module associated with an extension of the basic ring,”Zap. Nauchn. Semin. POMI,211, 136–145 (1994).Google Scholar
  4. 4.
    D. A. Suprunenko,Matrix Groups [in Russian], Nauka, Moscow (1972).Google Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • Z. I. Borevich
  • V. A. Koibaev
  • I. V. Lavrent'ev

There are no affiliations available

Personalised recommendations