Delzant's $T$-invariant, Kolmogorov complexity and one-relator groups

• Autores: Ilya Kapovich, Paul Schupp
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 80, Nº 4, 2005, págs. 911-933
• Idioma: inglés
• DOI: 10.4171/cmh/39
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that for ``random'' one-relator groups the Delzant $T$-invariant (which measures the smallest size of a finite presentation of a group) is comparable in magnitude with the length of the defining relator. The proof relies on our previous results regarding isomorphism rigidity of generic one-relator groups and on the methods of the theory of Kolmogorov--Chaitin complexity