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- Title
Character degrees and nilpotence class in p-groups.
- Authors
Slattery, Michael C.
- Abstract
Work of Isaacs and Passman shows that for some sets X of integers, p-groups whose set of irreducible character degrees is precisely X have bounded nilpotence class, while for other choices of X, the nilpotence class is unbounded. This paper presents a theoren which shows some additional sets of character degrees which bound nilpotence class within the family of metabelian p-groups. In particular, it is shown that is the non-linear irreducible character degrees of G lie between pa and pb, where a ≤ b ≤ 2a − 2, then the nilpotence class of G is bounded by a function of p and b − a.
- Publication
Journal of the Australian Mathematical Society, 1994, Vol 57, Issue 1, p76
- ISSN
1446-7887
- Publication type
Article
- DOI
10.1017/S1446788700036065