Free central extensions of groups and modular Lie powers of relation modules

• Autores: Marianne Johnson, Ralph Stöhr
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 3807-3814
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10409-4
• Enlaces
  • Texto completo (pdf)
• Resumen

  • The most prominent special case of our main result is that the free centre-by-(nilpotent of class ())-by-abelian groups are torsion-free whenever is divisible by at least two distinct primes. This is in stark contrast to the case where is a prime or , where these relatively free groups contain non-trivial elements of finite order.