Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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Outline of Final Research Achievements |
We obtained results on disconnected flat quandles and on symmetry-commutative subsets in quandles. In the former, we construct disconnected flat quandles from any graph, and proved that the constructed quandle is homogeneous if and only if the graph is vertex-transitive. In the latter, we defined the notion of symmetry-commutative subsets in quandles, and determined them for many cases, such as oriented Grassmannians and compact classical Lie groups.
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