Corrections to the article The Johnson–Morita theory for the rings of Fricke characters of free groups

Takao Satoh

Vol. 296 (2018), No. 2, 509–510

DOI: 10.2140/pjm.2018.296.509

Correction to Pacific Journal of Mathematics 275:2 (2015) 443–461

Abstract

There is a gap in the proof of Proposition 3.1, and it seems to be still an open problem to determine whether the map $\Phi$ is surjective or not. In order not to cause any effect on our main theorems, we modify our previous arguments in the following way.

Keywords

ring of Fricke characters, automorphism group of free groups, IA-automorphism group, Andreadakis–Johnson filtration, Johnson homomorphisms

Mathematical Subject Classification 2010

Primary: 20F28

Secondary: 20J06

Milestones

Received: 20 December 2017

Revised: 5 February 2018

Accepted: 6 February 2018

Published: 16 July 2018