J Austral Math Soc Ser A 57 pp49--59, 1994.

The Nuclear Length of a Character

Wayne W. Wheeler

Abstract

If G is a p-seperable group and c is an irreducible character of G, the Isaacs has defined an associated pair (W, g), called a nucleus of c. The nucleus is the last term in a certain chain of pairs (I, y), where I is a subgroup of G and y is an irreducible character if I. The length of this chain is an invariant of c that we call the nuclear length. In this paper we study bounds on the nuclear length of c as a function of the p-length of G and as a function of the character degree c(1).

1991 AMS Subject Classification: 20C15

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Authors

Wayne W. Wheeler

School of Mathematical Sciences, Australian National University, Canberra ACT 0200, Australia.

mailto:wheeler@pell.anu.edu.au