Some inequalities for the Baer-invariant of a pair of finite groups

被引：10

作者：

Moghaddam, Mohammad Reza R. ^{[1
]}

Salemkar, Ali Reza

Saany, Hossein M.

机构：

[1] Islamic Azad Univ Mashhad, Dept Math, Mashhad, Iran

[2] Ferdowsi Univ Mashhad, Fac Math Sci, Mashhad, Iran

[3] Shaheed Beheshti Univ Med Sci, Fac Math Sci, Tehran, Iran

[4] Valiasr Univ, Dept Math, Rafsanjan, Iran

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2007年 / 18卷 / 01期

关键词：

Baer-invariant; Schur-multiplier; verbal and marginal subgroups;

D O I：

10.1016/S0019-3577(07)80008-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce the concept of Baer-invariant of a pair of groups with respect to a variety of groups v. Some inequalities for the Baer-invariant of a pair of finite groups are obtained, when v is considered to be the Schur-Baer variety. We also present a condition for which the order of the Baer-invariant of a pair of finite groups divides the order of the Baer-invariant of their factor groups. Finally, some inequalities for the Schur-multiplier of a pair of finite nilpotent groups and their factor groups are given.

引用

页码：73 / 82

页数：10

共 50 条

[1] Some properties on the Baer-invariant of a pair of groups and νG-marginal series
Rismanchian, Mohammad Reza
Araskhan, Mehdi
[J]. TURKISH JOURNAL OF MATHEMATICS, 2013, 37 (02) : 259 - 266
[2] Some notes on the Baer-invariant of a nilpotent product of groups
Mashayekhy, B
[J]. JOURNAL OF ALGEBRA, 2001, 235 (01) : 15 - 26
[3] CALCULATION OF THE BAER-INVARIANT OF CERTAIN GROUPS
MOGHADDAM, MRR
[J]. MONATSHEFTE FUR MATHEMATIK, 1984, 97 (03): : 191 - 206
[4] Subgroup theorems for the Baer-invariant of groups
Moghaddam, MRR
Mashayekhy, B
Kayvanfar, S
[J]. JOURNAL OF ALGEBRA, 1998, 206 (01) : 17 - 32
[5] THE BAER-INVARIANT AND THE DIRECT LIMIT
MOGHADDAM, MRR
[J]. MONATSHEFTE FUR MATHEMATIK, 1980, 90 (01): : 37 - 43
[6] The Baer-invariant of a semidirect product
Mashayekhy, B
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 1997, 8 (04): : 529 - 535
[7] THE BAER-INVARIANT OF A DIRECT-PRODUCT
MOGHADDAM, MRR
[J]. ARCHIV DER MATHEMATIK, 1980, 33 (06) : 504 - 511
[8] Inequalities for Baer invariants of finite groups
Burns, J
Graham, E
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1998, 41 (04): : 385 - 391
[9] Inequalities for some blocks of finite groups
Malle, Gunter
Navarro, Gabriel
[J]. ARCHIV DER MATHEMATIK, 2006, 87 (05) : 390 - 399
[10] INEQUALITIES FOR SOME FINITE LINEAR GROUPS
BLAU, HI
[J]. JOURNAL OF ALGEBRA, 1976, 38 (02) : 407 - 413

← 1 2 3 4 5 →