Archiv der Mathematik

, Volume 85, Issue 4, pp 293–296 | Cite as

Block separation in solvable groups

  • Gabriel Navarro
  • Alexandre Turull
  • Thomas R. Wolf
Original Paper


If π is a set of primes, a finite group G is block π-separated if for every two distinct irreducible complex characters α, β ∈ Irr(G) there exists a prime p ∈ π such that α and β lie in different Brauer p-blocks. A group G is block separated if it is separated by the set of prime divisors of |G|. Given a set π with n different primes, we construct an example of a solvable π-group G which is block separated but it is not separated by every proper subset of π.

Mathematics Subject Classification (2000).



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Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  • Gabriel Navarro
    • 1
  • Alexandre Turull
    • 2
  • Thomas R. Wolf
    • 3
  1. 1.Departament d’ ÀlgebraUniversitat de ValènciaBurjassotSpain
  2. 2.Department of MathematicsUniversity of FloridaGainesvilleUSA
  3. 3.Department of MathematicsOhio UniversityAthensUSA

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