f-分配子与群同态关系的研究
发布时间:2018-08-15 13:20
【摘要】:在本论文中,通过对f-分配子的深入研究,讨论了f-分配子的若干新的性质。给出了一些由f-分配子诱导的群同态。本文将群的中心以及p-中心和n-中心的概念统一,定义了一个新的概念,群的f-中心。首先证明了 f中心是群的一个子群。其次讨论了f-中心的若干性质,得到群同态与f-中心之间的关系。最后还详细探讨了f-中心与p-中心和群中心之间的关系,并推广了一些著名的结果。
[Abstract]:In this paper, some new properties of f-distributors are discussed by studying f-distributors in depth. Some group homomorphisms induced by f- distributors are given. In this paper, we unify the concepts of the center of a group as well as the concepts of p- center and n- center, and define a new concept, the f-center of a group. First, it is proved that the f center is a subgroup of a group. Secondly, some properties of f-center are discussed, and the relation between group homomorphism and f-center is obtained. Finally, the relationship between f- center, p- center and group center is discussed in detail, and some famous results are generalized.
【学位授予单位】:青岛大学
【学位级别】:硕士
【学位授予年份】:2017
【分类号】:O152
本文编号:2184325
[Abstract]:In this paper, some new properties of f-distributors are discussed by studying f-distributors in depth. Some group homomorphisms induced by f- distributors are given. In this paper, we unify the concepts of the center of a group as well as the concepts of p- center and n- center, and define a new concept, the f-center of a group. First, it is proved that the f center is a subgroup of a group. Secondly, some properties of f-center are discussed, and the relation between group homomorphism and f-center is obtained. Finally, the relationship between f- center, p- center and group center is discussed in detail, and some famous results are generalized.
【学位授予单位】:青岛大学
【学位级别】:硕士
【学位授予年份】:2017
【分类号】:O152
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