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Article Dans Une Revue Journal of Algebra Année : 2018

Generalized Johnson homomorphisms for extended N-series

Résumé

The Johnson filtration of the mapping class group of a compact, oriented surface is the descending series consisting of the kernels of the actions on the nilpotent quotients of the fundamental group of the surface. Each term of the Johnson filtration admits a Johnson homomorphism, whose kernel is the next term in the filtration. In this paper, we consider a general situation where a group acts on a group with a filtration called an "extended N-series". We develop a theory of Johnson homomorphisms in this general setting, including many known variants of the original Johnson homomorphisms as well as several new variants.

Dates et versions

hal-01568278 , version 1 (25-07-2017)

Identifiants

Citer

Kazuo Habiro, Gwénaël Massuyeau. Generalized Johnson homomorphisms for extended N-series. Journal of Algebra, 2018, 510, pp.205-258. ⟨10.1016/j.jalgebra.2018.05.031⟩. ⟨hal-01568278⟩
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