Skip to main content
Log in

Maximal class p-groups with large character degree gaps

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract

In Mann (More on normally monomial p-groups, 2015), he proves some bounds on the size of gaps between character degrees of maximal class p-groups. In this note we construct a family of examples that shows that one of these bounds is sharp.

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

  1. Baer R.: Groups with abelian central quotient group. Trans. Amer. Math. Soc. 44, 357–386 (1938)

    Article  MathSciNet  Google Scholar 

  2. I.M. Isaacs, Finite Group Theory, Graduate Studies in Mathematics 92, American Mathematical Society, Providence, 2008

  3. Keller T.M., Ragan D., Tims G.T.: On the Taketa bound for normally monomial p-groups of maximal class. J. Algebra 277, 675–688 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  4. Mann A.: Normally monomial p-groups. J. Algebra 300, 2–9 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  5. A. Mann, More on normally monomial p-groups, preprint (2015)

  6. M.C. Slattery, Character degrees of normally monomial maximal class 5-groups, in Character Theory of Finite Groups (the Isaacs conference), Contemporary Mathematics 524, American Mathematical Society, Providence, 2010

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michael C. Slattery.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Slattery, M.C. Maximal class p-groups with large character degree gaps. Arch. Math. 105, 501–507 (2015). https://doi.org/10.1007/s00013-015-0836-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00013-015-0836-4

Mathematics Subject Classification

Keywords

Navigation