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Basic information
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| Name | SATO Kenji |
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| researchmap researcher code | 5000028654 |
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For a group acting on a non-empty set, my work is to prove the existence of a free subgroup of rank 2 of the group. The motivation of my work is that it is useful to prove the Hausdorff-Banach-Tarski Paradox, that is, for two bounded subsets with non-empty interior of the Euclidean space with dimension is greater or equal to 3, we can partition one of them to finite pieces and reconstruct the other by congruent transformations.