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arXiv · 1206.1500

On the graded quotients of the ring of Fricke characters of a free group

Eri Hatakenaka·Takao Satoh
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Abstract

First, we study a descending filtration of the ring of Fricke characters of a free group consisting of ideals on which the automorphism group of a free group acts. Then using it, we define a descending filtration of the IA-automorphism group of a free group, and investigate a relation between it and the Andreadakis-Johnson filtration.

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Eri Hatakenaka, Takao Satoh. 2014-01-24. On the graded quotients of the ring of Fricke characters of a free group. https://arxiv.org/abs/1206.1500

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