The exponents of nonabelian tensor products of groups

• Autores: Primoz Moravec
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 212, Nº 7, 2008, págs. 1840-1848
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2007.11.003
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• Resumen

  • We prove that the exponent of the nonabelian tensor product of two locally finite groups can be bounded in terms of exponents of given groups. Several estimates for the exponents of nonabelian tensor squares are obtained. In particular, if the group G is nilpotent of class =3 and of finite exponent, then the exponent of its nonabelian tensor square divides the exponent of G.