Elements of prime power order and their conjugacy classes in finite groups

• Autores: László Héthelyi, Burkhard Külshammer
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 78, Nº 2, 2004, págs. 291-295
• Idioma: inglés
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• Resumen

  • We show that, for any positive integer K , there are only finitely many finite groups, up to isomorphism, with exactly conjugacy classes of elements of prime power order. This generalizes a result of E. Landau from 1903. The proof of our generalization makes use of the classification of finite simple groups.