Multiplicative Lie algebra structure on nilpotent group of class 2

2024/09/25 by Deepak Pal, Amit Kumar, Pal, Deepak +3
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2409.16679

openalex publication_date 2024/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper explores the properties of multiplicative Lie algebra structures on a nilpotent group of class 2. We also present a method for determining a multiplicative Lie algebra structure on a group that serves as an extension of one Lie ring by another Lie ring such as a metacyclic group and a nilpotent group of class 2.

Related

• Multiplicative Lie Algebra Structures on a Group
• Isoclinism in multiplicative Lie algebras
• Multiplicative Lie algebra structures on semi-direct product of groups
• Lie algebras with associative structures. Applications to the study of 2-step nilpotent Lie algebras
• Characterizing nilpotent Lie algebras rely on the dimension of their 2-nilpotent multipliers