群中元素乘积的阶的定理推广

Generalization of the Theorem for the Product Order of Elements in Group

摘要: 讨论了群G中两个元素a，b乘积的阶等于的情况。给出了群中元素a，b不可交换时，元素乘积的阶的一类计算问题。在相对较大的范围内，对已有定理进行了推广。

Abstract: In this paper, we discuss the case that the order of the product of two elements a, b in group G is equal to . This paper presents a class of computational problems for the order of the product of elements in a group when . In a relatively large range, the existing theorems are extended.