Mathematical Sciences: Topics in Finite Group Theory

本文研究的是有限群 理论，特别是不动点问题的研究， Hall-Higman理论首席研究员将研究 最长链的长度问题 有限单群的子群与置换结构 有限模块进一步，有限特征标理论 具有许多正常子群的组将被检查，研究 特征因子分解的性质此外，其他 有限群理论领域的问题将是 考虑，包括涉及莫比乌斯函数的问题， 有限群子群偏序集与Galois问题 理论

This research is concerned with finite group theory,particularly the study of fixed point problems and Hall-Higman theory. The principal investigator will study problems concerning the length of the longest chain of subgroups in finite simple groups and the permutation structure of finite modules. Further, the character theory of finite groups with many normal subgroups will be examined, studying properties of character factorization. In addition, other problems in the area of finite groups theory will be considered, including problems involving the Mobius function on the poset of subgroups of a finite group and problems of Galois theory.