The theorems on freedom for relatively free groups with a relations

2021/12/15 by A. F. Krasnikov, Krasnikov, A. F.
Mathematics · #20F19 #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2112.07937

openalex publication_date 2021/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the theorem on freedom for relatively free groups with a single relation (analogous with the well-known result of Magnus) and a generalized Freiheitssatz for relatively free groups (analogous with the well-known result of Romanovski)

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