A note on the converse of the Clifford's theorem and some consequences
G. Navarro (1987)
Rendiconti del Seminario Matematico della Università di Padova
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G. Navarro (1987)
Rendiconti del Seminario Matematico della Università di Padova
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N. Giovannini (1977)
Annales de l'I.H.P. Physique théorique
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A. Carey, William Moran (1986)
Studia Mathematica
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Ernest Plonka (1979)
Mathematische Annalen
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H. Leptin (1973)
Studia Mathematica
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Eberhard KANIUTH, R.J. Archbold (1997)
Forum mathematicum
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A. Buys, G. K. Gerber (1984)
Publications de l'Institut Mathématique
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Eberhard Kaniuth (1991)
Mathematica Scandinavica
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Keresztély Corrádi, Erzsébet Horváth (2000)
Discussiones Mathematicae - General Algebra and Applications
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In the first part of this paper we prove without using the transfer or characters the equivalence of some conditions, each of which would imply p-nilpotence of a finite group G. The implication of p-nilpotence also can be deduced without the transfer or characters if the group is p-constrained. For p-constrained groups we also prove an equivalent condition so that should be p-nilpotent. We show an example that this result is not true for some non-p-constrained groups. In the second...
Dwight Olson, Terry Jankins (1973)
Fundamenta Mathematicae
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