Partially Commutative Metabelian Pro- P -Groups

Сибирский математический журнал

article

S. G. Afanaseva¹  E. I. Timoshenko¹ 

[1] Novosibirsk State Technical University

关键词: partially commutative group;    metabelian group;    pro-p-group;    centralizer;    annihilator;   

DOI  :  10.1134/S0037446619040013

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

We prove two theorems about a partially commutative metabelian pro-p-group. The first theorem concerns the structure of annihilators for the commutators of nonadjacent vertices of the defining graph, and the second discusses the centralizers of the vertices of the defining graph.

【 授权许可】

CC BY