The impact of the solubilizer of an element on the structure of a finite group

2022/10/20 by Hamid Mousavi, Mousavi, Hamid, Mina Poozesh +3
Mathematics · #20D05 (Primary) #20D99 (Secondary) #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2210.11564

openalex publication_date 2022/10/20 · openalex created_date 2023/02/13 · openalex updated_date 2026/07/28

Abstract

Let G be a finite group, and let x be an element of G. Denote by \Sol_G(x) the set of all y ∈ G such that the group generated by x and y is soluble. We investigate the influence of \Sol_G(x) on the structure of G.

Related

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• On the Normalizer-Solubilizer Conjecture_V3
• Solvabilizer Numbers of Finite Groups