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On the number of cyclic subgroups of a group
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-04-16 , DOI: 10.1080/00927872.2020.1748886 William Cocke 1 , Sara Jensen 2
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-04-16 , DOI: 10.1080/00927872.2020.1748886 William Cocke 1 , Sara Jensen 2
Affiliation
Abstract There has been some interest in understanding the relationship between the number of cyclic subgroups of a group and its order. This relationship is controlled in many cases by the size of the set of non-squares of the group. We improve upon previously established bounds and classify groups that obtain our new bound.
中文翻译:
关于群的循环子群的个数
摘要 理解一个群的循环子群的数量与其阶数之间的关系引起了一些兴趣。在许多情况下,这种关系由组的非正方形集合的大小控制。我们改进先前建立的界限并对获得新界限的组进行分类。
更新日期:2020-04-16
中文翻译:
关于群的循环子群的个数
摘要 理解一个群的循环子群的数量与其阶数之间的关系引起了一些兴趣。在许多情况下,这种关系由组的非正方形集合的大小控制。我们改进先前建立的界限并对获得新界限的组进行分类。