| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
The adjoint group of a Coxeter quandle is an intermediate group between the corresponding Coxeter group and the Artin group. The study of cohomology of adjoint groups is important for the study of cohomology of Coxeter groups and Artin groups. As results, we determined the rational cohomology rings of all adjoint groups, proved that Hepworth families of adjoint groups have homology stability, and evaluated vanishing ranges of mod p cohomology groups of adjoint groups.
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