Premium
New Obstructions for the Surjectivity of the Johnson Homomorphism of the Automorphism Group of a Free Group
Author(s) -
Satoh Takao
Publication year - 2006
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610706022976
Subject(s) - homomorphism , mathematics , outer automorphism group , automorphism , group (periodic table) , alternating group , automorphism group , combinatorics , inner automorphism , pure mathematics , algebra over a field , chemistry , organic chemistry
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom