English

The free commutative automorphic $2$-generated loop of nilpotency class $3$

Group Theory 2015-09-21 v1

Abstract

A loop is automorphic if all its inner mappings are automorphisms. We construct the free commutative automorphic 22-generated loop of nilpotency class 33. It has dimension 88 over the integers.

Keywords

Cite

@article{arxiv.1509.05465,
  title  = {The free commutative automorphic $2$-generated loop of nilpotency class $3$},
  author = {Dylene Agda Souza de Barros and Alexander Grishkov and Petr Vojtěchovský},
  journal= {arXiv preprint arXiv:1509.05465},
  year   = {2015}
}
R2 v1 2026-06-22T10:59:24.695Z