有限p群的算术结构

p群的算术结构是有限p群领域研究的重要问题之一。本项目主要研究p群算术结构中的子群计数问题，即进一步研究华段猜想、用某阶子群个数或一组子群个数信息决定有限p群的结构、研究内交换子群的个数对p群结构的影响。此外，研究p群算术结构其他方面的一些问题。旨在推动p群算术结构方面的研究，为p群领域的研究做出新的贡献。

The arithmetic structure of finite p-groups is one of important problems in finite p-groups. The project is mainly to investigate the enumeration of subgroups in the arithmetic structure. That is, Hua-Tuan´s conjecture; Determining the structure of finite p-groups by the number of subgroups of some given order or some orders, and investigating the influence of the number of minimal nonabelian subgroups on the structure of finite p-groups. In addition, other problems on the arithmetic structure will be investigated. The aim of the project is to promote the research work in the arithmetic structure of finite p-groups, and hence give a new contribution to finite p-groups.