Skip to main content
SpringerLink
Log in

Primitive Extensions of Maximal Diameter of Multiply Transitive Permutation Groups

  • Conference paper
Proceedings of the Second International Conference on the Theory of Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 372))

  • 1405 Accesses

Abstract

Primitive extensions of multiply transitive permutation groups have been determined in case of rank three or four ([1], [2], [5], [6], [8]). In this paper we shall consider primitive extensions of maximal diameter of arbitrary rank.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Eiichi Bannai, “On rank 3 groups with a multiply transitive constituent”, J. Math. Soc. Japan 24 (1972), 252–254. 2b1.241.20003.

    Google Scholar 

  2. Eiichi Bannai, “Primitive extensions of rank 4 of multiply transitive permutation groups (Part I. The case where all the orbits are self-paired)”, J. Math. Soc. Japan 25 (1973), 188–201.

    Article  MATH  Google Scholar 

  3. P.J. Cameron, “Permutation groups with multiply transitive suborbits”, Proe. London loath. Soc. (3) 25 (1972), 427–440. Zó1. 247. 20004.

    Google Scholar 

  4. D.G. Higman, “Intersection matrices for finite permutation groups”, J. Algebra 6 (1967), 22–42. MR35#244.

    Google Scholar 

  5. Shiro Iwasaki, “A note on primitive extensions of rank 3 of alterna groups”, J. Fac. Sci. Hokkaido Univ. Ser. 121 (1970), 125–128. M1(42#3160.

    Google Scholar 

  6. Shiro Iwasaki, “A note on primitive extensions of rank 4 of alternating groups”, Proc. Japan Acad. 48 (1972), 5–8. MR46#1888.

    Google Scholar 

  7. Hirosi Nagao, “On multiply transitive groups IV”, Osaka J. Math. 2 (1965), 327–341. MR34#231ä.

    Google Scholar 

  8. Tosiro Tsuzuku, “On primitive extensions of rank 3 of symmetric groups”, Nagoya Math. J. 27 (1966), 171–177. MR33#1358.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tokyo University, Tokyo, 113, Japan

    Hikoe Enomoto

Authors
  1. Hikoe Enomoto
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Dept. of Mathematics, Institute of Advanced Studies, Australian National University, 2600, Canberra, ACT, Australia

    M. F. Newman

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Enomoto, H. (1974). Primitive Extensions of Maximal Diameter of Multiply Transitive Permutation Groups. In: Newman, M.F. (eds) Proceedings of the Second International Conference on the Theory of Groups. Lecture Notes in Mathematics, vol 372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21571-5_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-21571-5_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06845-7

  • Online ISBN: 978-3-662-21571-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation