English

n-th Relative nilpotency degree and relative n-isoclinism classes

Group Theory 2012-06-20 v4

Abstract

P. Hall introduced the notion of isoclinism between two groups more than 60 years ago. Successively, many authors have extended such a notion in different contexts. The present paper deals with the notion of relative n-isoclinism, given by N. S. Hekster in 1986, and with the notion of n-th relative nilpotency degree, recently introduced in literature.

Cite

@article{arxiv.1003.2297,
  title  = {n-th Relative nilpotency degree and relative n-isoclinism classes},
  author = {Rashid Rezaei and Francesco G. Russo},
  journal= {arXiv preprint arXiv:1003.2297},
  year   = {2012}
}

Comments

6 pages; revisions have been done, omitting some examples of the previous version; accepted for publication

R2 v1 2026-06-21T14:56:37.096Z