Commutativity of involutive two-valued groups

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 a...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2024-01
Main Author: Gaifullin, Alexander A
Format: Article
Language:English
Subjects:
Classification
Commutativity
Group theory
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2401.15191