On the Factorization Numbers of a Class of Finite p-Groups  

关于一类有限p-群的因子分解数

作　　者：WANG Yu-lei BAI Xue ZHANG Yuan-feng 王玉雷;白雪;张元峰(Department of Mathematics,Henan University of Technology,Zhengzhou 450001,China)

机构地区：[1]Department of Mathematics,Henan University of Technology,Zhengzhou 450001,China

出　　处：《Chinese Quarterly Journal of Mathematics》2022年第2期132-141,共10页数学季刊（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11601121,12171142).

摘　　要：Let G be a group and A and B be subgroups of G.If G=AB,then G is said to be factorized by A and B.Let p be a prime number.The factorization numbers of a 2-generators abelian p-group and a modular p-group have been determined.Further,suppose that G is a finite p-group as follows G=<a,b|a^(p)^(n)=b^(p)^(m)=1,a^(b)=a^(p^(n-1)+1)>,where n≥2,m≥1.In this paper,the factorization number of G is computed completely,which is a generalization of the result of Saeedi and Farrokhi.

关 键 词：Finite p-group Factorization number Subgroup commutativity degree 

分 类 号：O152.1[理学—数学]