English

Multiplicative Lie algebra structure on nilpotent group of class $2$

Group Theory 2024-09-26 v1

Abstract

This paper explores the properties of multiplicative Lie algebra structures on a nilpotent group of class 22. 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 22.

Keywords

Cite

@article{arxiv.2409.16679,
  title  = {Multiplicative Lie algebra structure on nilpotent group of class $2$},
  author = {Deepak Pal and Amit Kumar and Sumit Kumar Upadhyay},
  journal= {arXiv preprint arXiv:2409.16679},
  year   = {2024}
}