Elements of minimal breadth in finite p-groups and Lie algebras

• Autores: Avinoam Mann
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 81, Nº 2, 2006, págs. 209-214
• Idioma: inglés
• DOI: 10.1017/s1446788700015834
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• Resumen

  • Let G be a finite p-group, and let M(G) be the subgroup generated by the non-central conjugacy classes of G of minimal size. We prove that this subgroup has class at most 3. A similar result is noted for nilpotent Lie algebras.