定数组权力图的功能图 (On the functional graph of the power map over finite groups)

In this paper we study the description of the digraph associated with the power map over finite groups. Our main motivation comes from the nice description of such digraphs in the case of cyclic groups. In particular, we derive results on abelian groups, and also on flower groups, which are introduced in this paper. The class of flower groups includes many non abelian groups such as dihedral and generalized quaternion groups, and the projective general linear group of order two over a finite field. In particular, we provide improvements on past works.

翻译：在本文中,我们研究了与有限群体权力分布图有关的描述。我们的主要动机来自对环状群体此类描述的正确描述。特别是,我们从本论文中介绍的贝贝利群体和花卉群体中得出结果。花卉群体包括许多非非贝利群体,如异形和普通四面形群体,以及投影一般线性第二组,超越一个有限领域。特别是,我们提供了过去工程的改进。

相关内容

GROUP

关注 1

Group一直是研究计算机支持的合作工作、人机交互、计算机支持的协作学习和社会技术研究的主要场所。该会议将社会科学、计算机科学、工程、设计、价值观以及其他与小组工作相关的多个不同主题的工作结合起来，并进行了广泛的概念化。官网链接：https://group.acm.org/conferences/group20/