Skip to main content

Parallel construction of finite solvable groups

  • Session F4: Applications: Non Numerical Applications
  • Conference paper
  • First Online:
Book cover Parallel Virtual Machine — EuroPVM '96 (EuroPVM 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1156))

Included in the following conference series:

  • 170 Accesses

Abstract

An algorithm for the construction of finite solvable groups of small order is given. A parallelized version under PVM is presented. Different models for parallelization are discussed.

This research was supported by Procope

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bettina Eick: Charakterisierung und Konstruktion von Frattinigruppen mit Anwendung in der Konstruktion endlicher Gruppen. Thesis, RWTH Aachen, 1996.

    Google Scholar 

  2. Marshall Hall, James K. Senior: The groups of order 2n (n≤6). MacMillan Company, New York, London 1964.

    Google Scholar 

  3. Bertram Huppert: Endliche Gruppen I. Springer Verlag, Berlin, Heidelberg, New York, 1967.

    Google Scholar 

  4. Reinhard Laue: Zur Konstruktion und Klassifikation endlicher auflösbarer Gruppen. Bayreuther Math. Schr.9 (1982).

    Google Scholar 

  5. Steven A. Moyer, V. S. Sunderam: PIOUS for PVM, Version 1.2, User's Guide and Reference Manual. http://www.mathcs.emory.edu/Resesrch/Pious.html

    Google Scholar 

  6. Joachim Neubüser: Die Untergruppenverbände der Gruppen der Ordnungen≤100 mit Ausnahme der Ordnungen 64 und 96. Thesis, Kiel 1967.

    Google Scholar 

  7. Edward Anthony O'Brien: The groups of order 256. J. Algebra, 143 (1991), 219–235.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Arndt Bode Jack Dongarra Thomas Ludwig Vaidy Sunderam

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Betten, A. (1996). Parallel construction of finite solvable groups. In: Bode, A., Dongarra, J., Ludwig, T., Sunderam, V. (eds) Parallel Virtual Machine — EuroPVM '96. EuroPVM 1996. Lecture Notes in Computer Science, vol 1156. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540617795_16

Download citation

  • DOI: https://doi.org/10.1007/3540617795_16

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61779-2

  • Online ISBN: 978-3-540-70741-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics