有限个高阶或少圈向量空间的仿射变换
Affine transformations of finite vector spaces with large orders or few cycles
摘要：
设V是素数阶p域上的d维向量空间，我们对V的至少p^d/4阶的仿射变换进行分类，并应用此分类确定了包含至少n/4阶置换的n次仿射型有限本原置换群.利用这一结果，我们得到了含有至多四个圈置换的仿射型有限本原置换群的一个分类。
英文摘要：
Let V be a d-dimensional vector space over a field of prime order p. We classify the affine transformations of V of order at least p^d/4, and apply this classification to determine the finite primitive permutation groups of affine type, and of degree n, that contain a permutation of order at least n/4. Using this result we obtain a classification of finite primitive permutation groups of affine type containing a permutation with at most four cycles.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
