English

A note on maximal subgroups of free idempotent generated semigroups over bands

Group Theory 2014-03-10 v3

Abstract

We prove that all maximal subgroups of the free idempotent generated semigroup over a band B are free for all B belonging to a band variety V if and only if V consists either of left seminormal bands, or of right seminormal bands.

Keywords

Cite

@article{arxiv.1010.3737,
  title  = {A note on maximal subgroups of free idempotent generated semigroups over bands},
  author = {Igor Dolinka},
  journal= {arXiv preprint arXiv:1010.3737},
  year   = {2014}
}

Comments

10 pages; to appear in Periodica Mathematica Hungarica

R2 v1 2026-06-21T16:30:24.617Z