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1 results

  • Partial characters with respect to a normal subgroup

  • Part of
  • Gabriel Navarro, Lucia Sanus
  • Journal:
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 66 / Issue 1 / February 1999
    Published online by Cambridge University Press:
    09 April 2009, pp. 104-124
    Print publication:
    February 1999
    • Article
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  • Suppose that G is a π-separable group. Let N be a normal π1-subgroup of G and let H be a Hall π-subgroup of G. In this paper, we prove that there is a canonical basis of the complex space of the class functions of G which vanish of G-conjugates ofHN. When N = 1 and π is the complement of a prime p, these bases are the projective indecomposable characters and set of irreduciblt Brauer charcters of G.