English

Maltsev bases for partially commutative nilpotent groups

Group Theory 2021-03-23 v1

Abstract

We construct an ordered set of commutators in a partially commutative nilpotent group F(X;Γ;Nm)F(X; \Gamma; \mathfrak N_m). This set allows us to define a canonical form for each element of F(X;Γ;Nm)F(X; \Gamma; \mathfrak N_m). Namely, we construct a Maltsev basis for the group F(X;Γ;Nm).F(X; \Gamma; \mathfrak N_m).

Keywords

Cite

@article{arxiv.2103.11134,
  title  = {Maltsev bases for partially commutative nilpotent groups},
  author = {E. I. Timoshenko},
  journal= {arXiv preprint arXiv:2103.11134},
  year   = {2021}
}
R2 v1 2026-06-24T00:22:39.365Z