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2 results

  • CHARACTERS OF PRIME DEGREE

  • EDITH ADAN-BANTE
  • Journal:
    Glasgow Mathematical Journal / Volume 53 / Issue 3 / September 2011
    Published online by Cambridge University Press:
    01 August 2011, pp. 419-426
    Print publication:
    September 2011
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  • Let G be a finite nilpotent group, χ and ψ be irreducible complex characters of G with prime degree. Assume that χ(1) = p. Then, either the product χψ is a multiple of an irreducible character or χψ is the linear combination of at least distinct irreducible characters.

  • INDUCTION OF CHARACTERS AND FINITE $p$-GROUPS

  • EDITH ADAN-BANTE
  • Journal:
    Glasgow Mathematical Journal / Volume 48 / Issue 3 / September 2006
    Published online by Cambridge University Press:
    06 December 2006, pp. 491-502
    Print publication:
    September 2006
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  • Let $G$ be a finite $p$-group, where $p$ is an odd prime number, $H$ a subgroup of $G$ and s$\theta\in \hbox{\rm Irr}(H)$ an irreducible character of $H$. Assume also that $|G:H|=p^2$. Then the character $\theta^G$ of $G$ induced by $\theta$ is either a multiple of an irreducible character of $G$, or has at least $\frac{p\,{+}\,1}{2}$ distinct irreducible constituents.