In the present paper we show that a stem finite p-group G has size bounded by min(p^((8d−2 log2 d+b−4)(b+1)/2), p^(b(3b+4d−1)/2) where b is the breadth of G and p^d is the maximum character degree of G. As a consequence there are only finitely many finite stem p-groups having breadth b and maximum character degree p^d.

The breadth-degree type of a finite p-group

Gavioli, Norberto;Monti, Valerio
2022

Abstract

In the present paper we show that a stem finite p-group G has size bounded by min(p^((8d−2 log2 d+b−4)(b+1)/2), p^(b(3b+4d−1)/2) where b is the breadth of G and p^d is the maximum character degree of G. As a consequence there are only finitely many finite stem p-groups having breadth b and maximum character degree p^d.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/172552
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