Skip to main content
Log in

Subgroup-Permutability and Affine Planes*

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

Abstract

We classify all finite groups whose subgroup-permutability graph is the incidence graph of an affine plain.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • [BGV1] Bianchi, M. Gillio, A. and Verardi, L.: Finite groups and subgroup-permutability, Ann. Mat. Pura Appl. (4) 169 (1995), 251–268.

    Google Scholar 

  • [BGV2] Bianchi, M. Gillio, A. and Verardi, L.: On finite p-groups in which subgroup-permutability is transitive, Boll. Un. Mat. Ital B (7) 9 (1995), 61–76.

    Google Scholar 

  • [HP] Hughes, D. R. and Piper, F. C.: Projective Planes, Springer Verlag, New York, Heidelberg, Berlin, 1972.

    Google Scholar 

  • [R] Robinson, D. J. S.: A Course in the Theory of Groups, Springer-Verlag, New York, 1982.

    Google Scholar 

  • [S] Suzuki, M.: Structure of a group and the structure of its lattice of subgroups, Ergeb. Math. Grenzgeb. 10 (1956).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bianchi, M., Gillio, A. & Verardi, L. Subgroup-Permutability and Affine Planes*. Geometriae Dedicata 85, 147–155 (2001). https://doi.org/10.1023/A:1010362602070

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1010362602070

Navigation