New obstructions for the surjectivity of the Johnson homomorphism of the automorphism group of a free group

• Autores: Takao Satoh
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 74, Nº 2, 2006, págs. 341-360
• Idioma: inglés
• DOI: 10.1112/s0024610706022976
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• Resumen

  • In this paper we construct new obstructions for the surjectivity of the Johnson homomorphism of the automorphism group of a free group. We also determine the structure of the cokernel of the Johnson homomorphism for degrees 2 and 3.