English

The groups and nilpotent Lie rings of order $p^8$ with maximal class

Group Theory 2021-09-10 v1 Rings and Algebras

Abstract

We classify the nilpotent Lie rings of order p8p^8 with maximal class for p5p \ge 5. This also provides a classification of the groups of order p8p^8 with maximal class for p11p \ge 11 via the Lazard correspondence.

Keywords

Cite

@article{arxiv.2109.04076,
  title  = {The groups and nilpotent Lie rings of order $p^8$ with maximal class},
  author = {Seungjai Lee and Michael Vaughan-Lee},
  journal= {arXiv preprint arXiv:2109.04076},
  year   = {2021}
}

Comments

10 pages