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arXiv · 2302.05909

Classification of involutive commutative two-valued groups

Victor M. Buchstaber·Alexander A. Gaifullin·Alexander P. Veselov
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Abstract

A complete classification of finitely generated involutive commutative two-valued groups is obtained. Three series of such two-valued groups are constructed: principal, unipotent and special, and it is shown that any finitely generated involutive commutative two-valued group is isomorphic to a two-valued group belonging to one of these series. A number of classification results are obtained for topological involutive commutative two-valued groups in the Hausdorff and locally compact cases. The classification of algebraic involutive two-valued groups in the one-dimensional case is also discussed.

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Victor M. Buchstaber, Alexander A. Gaifullin, Alexander P. Veselov. 2023-02-12. Classification of involutive commutative two-valued groups. https://doi.org/10.4213/rm10064

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