On conjugacy p-separability of free centre-by-metabelian groups

Journal of the Australian Mathematical Society

C. K. Gupta¹ 

[1] N. D. Gupta

关键词: 20 E 22;    20 E 25;   

DOI  :  10.1017/S1446788700031761

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

A group G is said to be conjugacy p-separable if two non-conjugate elements of G remain non-conjugate in some finite p-group endomorphic image of G. We show that the non-cyclic free centre-by-metabelian groups are not conjugacy p-separable for any prime p. On the other hand, we show that every free centre-by-metabelian group has the solvable conjugacy problem

【 授权许可】

Unknown