Qurak

DihedralGroup

可用

Symbolic dihedral group of order 2n; stays unevaluated and is consumed by GroupOrder/GroupGenerators/GroupElements

DihedralGroup[n]
DihedralGroup[10]//GroupOrder → 20DihedralGroup[4]//GroupElements → {Cycles[{}], Cycles[{{2, 4}}], Cycles[{{1, 2}, {3, 4}}], Cycles[{{1, 2, 3, 4}}], Cycles[{{1, 3}}], Cycles[{{1, 3}, {2, 4}}], Cycles[{{1, 4, 3, 2}}], Cycles[{{1, 4}, {2, 3}}]}DihedralGroup[10]//GroupGenerators → {Cycles[{{1, 10}, {2, 9}, {3, 8}, {4, 7}, {5, 6}}], Cycles[{{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}}]}

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