Skip to main content

An algorithm for the computation of conjugacy classes and centralizers in p-groups

  • 11. Applied Algebra
  • Conference paper
  • First Online:
Symbolic and Algebraic Computation (EUROSAM 1979)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 72))

Included in the following conference series:

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.

Bibliography

  1. Computational problems in abstract algebra (Proceedings of a conference, Oxford, 1967), edited by John Leech. Pergamon, Oxford, 1970.

    Google Scholar 

  2. Computers in algebra and number theory (Proceedings of a symposium in applied mathematics, New York, 1970), edited by Garrett Birkhoff and Marshall Hall, Jr.. SIAM-AMS Proceedings, Vol. 4, Amer. Math. Soc., Providence, R.I., 1971.

    Google Scholar 

  3. Proceedings of the second international conference on the theory of groups (Austral. Nat. Univ., Canberra, 1973), edited by M. F. Newman. Lecture Notes in Mathematics, Vol.372, Springer, Berlin, 1974.

    Google Scholar 

  4. SYMSAC '76, Proceedings of the 1976 ACM symposium on symbolic and algebraic computation (Yorktown Heights, N.Y., 1976), edited by R.D. Jenks. Assoc. Comput. Mach., New York, 1976.

    Google Scholar 

  5. Bayes, A.J.; Kautsky, J.; Wamsley, J.W.: Computation in nilpotent groups (application). pp. 82–89 in [3].

    Google Scholar 

  6. Cannon, John J.: Computing local structure of large finite groups. pp. 161–176 in [2].

    Google Scholar 

  7. Cannon, John: A general purpose group theory program. pp. 204–217 in [3].

    Google Scholar 

  8. Dixon, John D.: High speed computation of group characters. Numer. Math. 10 (1967), 446–450.

    Google Scholar 

  9. Felsch, Volkmar: A machine independent implementation of a collection algorithm for the multiplication of group elements. pp. 159–166 in [4].

    Google Scholar 

  10. Felsch, V.; Felsch, W.; Neubüser, J.; Plesken, W.: On p-groups and space groups. IV. Some counterexamples to the class-breadth conjecture. To be published.

    Google Scholar 

  11. Havas, George; Nicholson, Tim: Collection. pp. 9–14 in [4].

    Google Scholar 

  12. Jürgensen, H.: Calculation with the elements of a finite group given by generators and defining relations. pp. 47–57 in [1].

    Google Scholar 

  13. Leedham-Green, C.R.; Neumann, Peter M.; Wiegold, James: The breadth and the class of a finite p-group. J. London Math. Soc. 1 (1969), 409–420.

    Google Scholar 

  14. Macdonald, I.D.: A computer application to finite p-groups. J. Austral. Math. Soc. 17 (1974), 102–112.

    Google Scholar 

  15. Neubüser, J.: Bestimmung der Untergruppenverbände endlicher p-Gruppen auf einer programmgesteuerten elektronischen Dualmaschine. Numer. Math. 3 (1961), 271–278.

    Google Scholar 

  16. Newman, M.F.: Calculating presentations for certain kinds of quotient groups. pp. 2–8 in [4].

    Google Scholar 

  17. Robertz, Heinrich: Eine Methode zur Berechnung der Automorphismengruppe einer endlichen Gruppe. Diplomarbeit, RWTH Aachen, 1976.

    Google Scholar 

  18. Sims, Charles C.: Determining the conjugacy classes of a permutation group. pp. 191–195 in [2].

    Google Scholar 

  19. Wamsley, J.W.: Computation in nilpotent groups (theory). pp. 691–700 in [3].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Edward W. Ng

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Felsch, V., Neubüser, J. (1979). An algorithm for the computation of conjugacy classes and centralizers in p-groups. In: Ng, E.W. (eds) Symbolic and Algebraic Computation. EUROSAM 1979. Lecture Notes in Computer Science, vol 72. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09519-5_95

Download citation

  • DOI: https://doi.org/10.1007/3-540-09519-5_95

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09519-4

  • Online ISBN: 978-3-540-35128-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics