NEW OBSTRUCTIONS FOR THE SURJECTIVITY OF THE JOHNSON HOMOMORPHISM OF THE AUTOMORPHISM GROUP OF A FREE GROUP

Authors :: Takao Satoh
Source :: Journal of the London Mathematical Society. 74:341-360
Publication Year :: 2006
Publisher :: Wiley, 2006.
Abstract: 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.

Subjects :: Discrete mathematics
Pure mathematics
Klein four-group
General Mathematics
Alternating group
Outer automorphism group
Automorphism
Mathematics::Algebraic Topology
Computer Science::Emerging Technologies
Inner automorphism
Holomorph
Homomorphism
Group homomorphism
Mathematics

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