A remark on normal closures in free products of groups

2023/11/14 by Dali Zangurashvili, Zangurashvili, Dali
Mathematics · #20E06 #20E07 #20E15 #20J15 #Advanced Operator Algebra Research #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2401.03335

openalex publication_date 2023/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that a nontrivial normal subgroup N of a group G is a free factor of the N's normal closure in the G's free product with arbitrary nontrivial groups.

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