English

Commutativity of involutive two-valued groups

Group Theory 2024-11-20 v1

Abstract

In 2022, V. M. Buchstaber, A. P. Veselov, and the author proved a number of classification results for involutive commutative two-valued groups, including a complete classification in the finitely generated case. In the present note, we prove that any involutive two-valued group is commutative, so all these results are valid without the assumption of commutativity.

Keywords

Cite

@article{arxiv.2401.15191,
  title  = {Commutativity of involutive two-valued groups},
  author = {Alexander A. Gaifullin},
  journal= {arXiv preprint arXiv:2401.15191},
  year   = {2024}
}

Comments

3 pages