On varietal capability of Infinite direct products of groups

International Journal of Group Theory

关键词: Capable group;    Direct product;    Variety of groups;    V−capable group;    direct limit;   

DOI  :  

来源: DOAJ

【 摘 要 】

Recently, the authors gave some conditions under which a direct product of finitely many groups is V-capable if and only if each of its factors is V-capable for some varieties V. In this paper, we extend this fact to any infi nite direct product of groups. Moreover, we conclude some results for V-capability of direct products of infi nitely many groups in varieties of abelian, nilpotent and polynilpotent group.

【 授权许可】

Unknown