On torsion-free metabelian groups with commutator quotients of prime exponent

被引：11

作者：

Gupta, N ^{[1
]}

Sidki, S

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

[2] Univ Brasilia, Dept Matemat, BR-70919 Brasilia, DF, Brazil

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 1999年 / 9卷 / 05期

关键词：

D O I：

10.1142/S0218196799000308

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a torsion-free metabelian group having for commutator quotient, an elementary abelian p-group of rank k. It is shown that k greater than or equal to 3 for all primes p. Examples of such metabelian torsion-free groups are constructed for all primes p and all ranks k greater than or equal to 3, except for p = 2, k = 3.

引用

页码：493 / 520

页数：28

共 50 条

[1] Torsion-free metabelian groups with commutator quotient CPn x CPm
Cid, CF
JOURNAL OF ALGEBRA, 2002, 248 (01) : 15 - 36
[2] Torsion-free quotients of braid groups
Humphries, SP
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2001, 11 (03) : 363 - 373
[3] The Lattice of Quasivarieties of Torsion-Free Metabelian Groups
A. I. Budkin
Algebra and Logic, 2003, 42 (2) : 92 - 104
[4] COMMUTATOR GROUPS OF FREE PRODUCTS OF TORSION-FREE ABELIAN GROUPS
REE, R
ANNALS OF MATHEMATICS, 1957, 66 (02) : 380 - 394
[5] Absolute Closedness of Torsion-Free Abelian Groups in the Class of Metabelian Groups
A. I. Budkin
Algebra and Logic, 2014, 53 : 9 - 16
[6] Absolute Closedness of Torsion-Free Abelian Groups in the Class of Metabelian Groups
Budkin, A. I.
ALGEBRA AND LOGIC, 2014, 53 (01) : 9 - 16
[7] PROJECTIONS OF A METABELIAN TORSION-FREE GROUP
PEKELIS, AS
SADOVSKII, LE
DOKLADY AKADEMII NAUK SSSR, 1963, 151 (01): : 42 - &
[8] ON METABELIAN GROUPS OF PRIME-POWER EXPONENT
GUPTA, ND
NEWMAN, MF
TOBIN, SJ
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1968, 302 (1469): : 237 - &
[9] CENTER-BY-METABELIAN GROUPS OF PRIME EXPONENT
MILLER, JI
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 249 (01) : 217 - 224
[10] ON METABELIAN GROUPS OF PRIME-POWER EXPONENT
BRYCE, RA
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1969, 310 (1502): : 393 - &

← 1 2 3 4 5 →