Archiv der Mathematik

, Volume 105, Issue 6, pp 501–507 | Cite as

Maximal class p-groups with large character degree gaps

  • Michael C. Slattery


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.


p-Groups Character degrees Maximal class 

Mathematics Subject Classification

Primary 20C15 Secondary 20D15 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Baer R.: Groups with abelian central quotient group. Trans. Amer. Math. Soc. 44, 357–386 (1938)MathSciNetCrossRefGoogle Scholar
  2. 2.
    I.M. Isaacs, Finite Group Theory, Graduate Studies in Mathematics 92, American Mathematical Society, Providence, 2008Google Scholar
  3. 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)MATHMathSciNetCrossRefGoogle Scholar
  4. 4.
    Mann A.: Normally monomial p-groups. J. Algebra 300, 2–9 (2006)MATHMathSciNetCrossRefGoogle Scholar
  5. 5.
    A. Mann, More on normally monomial p-groups, preprint (2015)Google Scholar
  6. 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, 2010Google Scholar

Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Marquette UniversityMilwaukeeUSA

Personalised recommendations