Almost regular involutory automorphisms of uniquely 2-divisible groups

2010/09/02 by Yoav Segev, Segev, Yoav
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1009.0381

arxiv created 2010/09/02 · openalex publication_date 2010/09/02 · arxiv updated 2010/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that a uniquely 2-divisible group that admits an almost regular involutory automorphism is solvable.

Citations

• Groups Covered By Permutable Subsets

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