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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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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