Brauer pairs of Camina p-groups of nilpotence class 2

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Brauer pairs of Camina p - groups of nilpotence class 2

In this paper, we find a condition that characterizes when two Camina p-groups of nilpotence class 2 form a Brauer pair. MSC primary: 20C15

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CHARACTER DEGREES AND NILPOTENCE CLASS OF FINITE p-GROUPS: AN APPROACH VIA PRO-p GROUPS

Let S be a finite set of powers of p containing 1. It is known that for some choices of S, if P is a finite p-group whose set of character degrees is S, then the nilpotence class of P is bounded by some integer that depends on S, while for some other choices of S such an integer does not exist. The sets of the first type are called class bounding sets. The problem of determining the class bound...

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nth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2

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ژورنال

عنوان ژورنال: Archiv der Mathematik

سال: 2009

ISSN: 0003-889X,1420-8938

DOI: 10.1007/s00013-008-3033-x