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

Published online by Cambridge University Press:  25 October 2006

TAKAO SATOH
TAKAO SATOH
Affiliation:
Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro-ku Tokyo, 153-8914, Japantakao@ms.u-tokyo.ac.jp
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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.

Keywords

20F2820F1220F1420F4016W25 (primary)20F3857M05 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 74 , Issue 2 , October 2006 , pp. 341 - 360
Copyright
The London Mathematical Society 2006

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