Linear automorphism groups of relatively free groups

2007/07/04 by A. Yu. Olshanskii, Olshanskii, A. Yu.
Mathematics · Social Sciences · #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Japanese History and Culture #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0707.0571

openalex publication_date 2007/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a free group in a variety of groups, but G is not absolutely free. We prove that the group of automorphisms Aut(G) is linear iff G is a virtually nilpotent group.

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