Lifting finite groups of outer automorphisms of free groups, surface groups and their abelianizations

2006/04/21 by Bruno Zimmermann, Zimmermann, Bruno P.
Computer Science · Mathematics · #20F65 #57M99 #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0604464

openalex publication_date 2006/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We discuss the possibility of lifting finite subgroups, and in particular finite cyclic subgroups, with respect to the canonical projections between automorphism and outer automorphism groups of free groups, surface groups and their abelianizations.

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