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The nuclear length of a character
Part of:
Representation theory of groups
Published online by Cambridge University Press: 09 April 2009
Abstract
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If G is a π-separable group and χ is an irreducible character of G, then Issacs gas defined an associated pair (W, γ), called a nucleus of χ. The nucleus is the last term in a certain chain of pairs (I, Ω), where I is a subgroup of G and Ω is an irreducible character of I. The length of this chain is an invariant of χ that we call the nuclear length. In this paper we study bounds on the nuclear length of χ as a function of the π-length of G and as a function of the character degree χ(1).
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- Research Article
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- Copyright © Australian Mathematical Society 1994
References
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