论文标题
同阶类型是算术进展的组
Groups whose same-order types are arithmetic progressions
论文作者
论文摘要
有限组$ g $的同阶类型$τ_e（g）$是由包含$ g $相同订单元素的等价类的大小组成的集合。在本文中，我们研究了该集合的算术属性。更确切地说，我们概述了有限基团的分类和存在的一些结果，其相同类型是由3或4个元素形成的算术渐进性的，后者是这种序列的最大大小。
The same-order type $τ_e(G)$ of a finite group $G$ is a set formed of the sizes of the equivalence classes containing the same order elements of $G$. In this paper, we study an arithmetical property of this set. More exactly, we outline some results on the classification and existence of finite groups whose same-order types are arithmetic progressions formed of 3 or 4 elements, the latter being the maximum size of such a sequence.
