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The kernel of the Magnus representation of the automorphism group of a free group is not finitely generated

Published online by Cambridge University Press:  18 July 2011

TAKAO SATOH
TAKAO SATOH*
Affiliation:
Department of Mathematics, Faculty of Science, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo, 162-8601, Japan. e-mail: takao@rs.tus.ac.jp
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Abstract

We show that the abelianization of the kernel of the Magnus representation of the automorphism group of a free group is not finitely generated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 151 , Issue 3 , November 2011 , pp. 407 - 419
Copyright
Copyright © Cambridge Philosophical Society 2011

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