Geodesic
Classification of involutive commutative two-valued groups
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 77 (2022) no. 4, pp. 651-727

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A complete classification of finitely generated involutive commutative two-valued groups is obtained. Three series of such two-valued groups are constructed: a principal series, a unipotent series, and a special series; it is shown that any finitely generated involutive commutative two-valued group is isomorphic to a two-valued group in 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. Bibliography: 45 titles.
Keywords: classification of multi-valued groups, involutive two-valued groups, topological groups, locally compact groups, algebraic two-valued groups. 
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     author = {V. M. Buchstaber and A. P. Veselov and A. A. Gaifullin},
     title = {Classification of involutive commutative two-valued groups},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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V. M. Buchstaber; A. P. Veselov; A. A. Gaifullin. Classification of involutive commutative two-valued groups. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 77 (2022) no. 4, pp. 651-727. http://geodesic.mathdoc.fr/item/RM_2022_77_4_a1/