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Classification of involutive commutative two-valued groups
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-v...
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| Main Authors: | , , |
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| Format: | Default Article |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://hdl.handle.net/2134/22100468.v1 |
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| Summary: | 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 clas-sification of algebraic involutive two-valued groups in the one-dimensional case is also discussed. |
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