Character degrees and nilpotence class in p-groups
1994 ◽
Vol 57
(1)
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pp. 76-80
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AbstractWork 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.
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2019 ◽
Vol 19
(02)
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pp. 2050036
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1989 ◽
Vol 41
(1)
◽
pp. 68-82
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2006 ◽
Vol 49
(2)
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pp. 285-295
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