EUDML | Conjugacy class lengths of metanilpotent groups

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Displaying similar documents to “Conjugacy class lengths of metanilpotent groups”

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Zvonimir Janko (1976-1977)

Séminaire Bourbaki

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Prime divisors of conjugacy class lengths in finite groups

Carlo Casolo (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We show that in a finite group $G$ which is $p$ -nilpotent for at most one prime dividing its order, there exists an element whose conjugacy class length is divisible by more than half of the primes dividing $∣G / Z (G)∣$ .