Conjugacy separability of descending HNN-extensions of finitely generated Abelian groups

被引:2
作者
Sokolov, EV [1 ]
机构
[1] Ivanovo State Univ, Ivanovo, Russia
关键词
finitely generated group; Abelian group; torsion-free group; conjugacy separable group; residually finite group; descending HNN-extension;
D O I
10.1007/s11006-005-0173-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is proved that an arbitrary descending HNN-extension of a finitely generated Abelian group is conjugacy separable.
引用
收藏
页码:696 / 708
页数:13
相关论文
共 14 条
[1]  
[Anonymous], 1988, THEORY MATRICES
[2]  
KARGAPOLOV MI, 1973, ALL UN S GROUP THEOR, P86
[3]  
LYNDON RC, 1977, ERGEBNISSE MATH GREN, V89
[4]  
Maltsev A. I., 1958, UCH ZAP IVANOVSK PED, V18, P49
[5]  
Moldavanski D I, 1992, UKR MAT ZH, V44, P842, DOI DOI 10.1007/BF01056961
[6]  
Moldavanskii D. I., 1986, ALGORITHMIC PROBLEMS, P81
[7]  
Moldavanskii D. I., 2002, VESTNIK IVANOVSKOGO, P123
[8]  
NOSKOV GA, 1982, MATEMATICHESKIYE ZAM, V0031, P00495
[9]   On the conjugacy separability of certain graphs of groups [J].
Raptis, E ;
Talelli, O ;
Varsos, D .
JOURNAL OF ALGEBRA, 1998, 199 (01) :327-336
[10]   THE RESIDUAL FINITENESS OF HNN-EXTENSIONS AND GENERALIZED FREE-PRODUCTS OF NILPOTENT GROUPS - A CHARACTERIZATION [J].
RAPTIS, E ;
VARSOS, D .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1992, 53 :408-420