2023/03/29 by Anastasia Hadjievangelou, Hadjievangelou, Anastasia, Gunnar Traustason +1
Chemistry · Mathematics · #FOS: Mathematics #Ferrocene Chemistry and Applications #Finite Group Theory Research #Group Theory (math.GR) #Synthesis of heterocyclic compounds
paper · pdf · doi:10.48550/arxiv.2303.16693
openalex publication_date 2023/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we prove a group theoretic analogue of the well known local nilpotence theorem for sandwich Lie algebras due to Kostrikin and Zel'manov. We introduce the notion of a strong left 3-Engel element of a group G and show that these are always in the locally nilpotent radical of G. This generalises a previous result of Jabara and Traustason that showed that a left 3-Engel element a of a group G is in the locally nilpotent radical of G whenever a is of odd order.