On - and -decomposable finite groups
Ali Reza Ashrafi, Yao Qing Zhao (2003)
Mathematica Slovaca
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Displaying similar documents to “Conjugacy class lengths of metanilpotent groups”
On - and -decomposable finite groups
On the largest conjugacy class size in a finite group
John Cossey, Trevor Hawkes (2000)
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Groups with subnormal subgroups of bounded defect
Carlo Casolo (1987)
Rendiconti del Seminario Matematico della Università di Padova
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John C. Lennox, James Wiegold (1995)
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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 which is -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 .