其它的计数问题引导我们去研究置换群的轨道。

Other enumeration problems lead us to the study of orbits of permutation groups.

伴随每个递归步骤，会形成带有一个额外置换群的向量积。

With each recursive step, cross products with one additional Permutation Group are formed.

十九世纪的代数学知识体系庞大，它包含置换群、矩阵、代数数论、代数几何等多个分支。

In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches.

利用置换群方法研究了具有邻近相互作用的一维海森堡自旋12开链模型。

A permutation group approach to a one dimensional Heisenberg open spin 12 chain with nearest neighbor interactions is studied.