Subgroup separability and conjugacy separability of certain HNN extensions

被引：0

作者：

Wong, P. C. ^{[1
]}

Wong, K. B. ^{[1
]}

机构：

[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2008年 / 31卷 / 01期

关键词：

HNN extensions; polycyclic-by-finite groups; subgroup separable; conjugacy separable; residually finite;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we give characterizations for certain HNN extensions of polycyclic-by-finite groups with central associated subgroups to be subgroup separable and conjugacy separable. We shall do this by showing the equivalence of subgroup separability and conjugacy separability in this type of HNN extensions.

引用

页码：25 / 33

页数：9

共 18 条

[1] RESIDUAL FINITENESS AND HOPFICITY OF CERTAIN HNN EXTENSIONS [J].

ANDREADAKIS, S ;

RAPTIS, E ;

VARSOS, D .

ARCHIV DER MATHEMATIK, 1986, 47 (01) :1-5

[2] EFFECTS OF DRYING UPON LIGNITE MACRO-PORE STRUCTURE [J].

ANDROUTSOPOULOS, GP ;

LINARDOS, TJ .

POWDER TECHNOLOGY, 1986, 47 (01) :9-15

[3]

[Anonymous], T AM MATH SOC

[4]

[Anonymous], 1969, IZV AKAD NAUK SSSR M

[5] RESIDUALLY FINITE HNN EXTENSIONS [J].

BAUMSLAG, B ;

TRETKOFF, M .

COMMUNICATIONS IN ALGEBRA, 1978, 6 (02) :179-194

[6]

BAUMSLAG G, 1962, B AM MATH SOC, V68, P199, DOI 10.1090/S0002-9904-1962-10745-9

[7] CONJUGACY IN NILPOTENT GROUPS [J].

BLACKBURN, N .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (01) :143-+

[8]

BURNS RG, 1971, J AUSTR MATH SOC, V12, P358

[9] RECURSIVELY ENUMERABLE DEGREES AND CONJUGACY PROBLEM [J].

COLLINS, DJ .

ACTA MATHEMATICA UPPSALA, 1969, 122 (1-2) :115-&

[10]

Dyer J., 1980, J AUSTRAL MATH SOC A, V29, P35, DOI 10.1017/S1446788700020917

← 1 2 →