Distortion of wreath products in some finitely presented groups

• Autores: Sean Cleary
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 228, Nº 1, 2006, págs. 53-62
• Idioma: inglés
• DOI: 10.2140/pjm.2006.228.53
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• Resumen

  • Wreath products such as Z ? Z are not finitely presentable yet can occur as subgroups of finitely presented groups. Here we compute the distortion of Z ? Z as a subgroup of Thompson¿s group F and as a subgroup of Baumslag¿s metabelian group G. We find that Z ? Z is undistorted in F but is at least exponentially distorted in G.