The theorems on freedom for free products with a relations

2022/05/01 by A. F. Krasnikov, Krasnikov, A. F.
Mathematics · #20F19 #FOS: Mathematics #Group Theory (math.GR) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2205.00402

openalex publication_date 2022/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• The theorems on freedom for relatively free groups with a relations
• The theorems on freedom for free sums of Lie algebras with a relations
• The theorems on freedom for relatively free Lie algebras with a relations
• The theorems on freedom for relatively free Lie algebras and groups with a single relation
• Some explicit computations and models of free products