Identities of the soluble product of abelian groups

被引：0

作者：

Timoshenko E.I. ^{[1
]}

机构：

[1] Novosibirsk State Technical University, Novosibirsk

来源：

Siberian Mathematical Journal | 2011年 / 52卷 / 2期

基金：

俄罗斯基础研究基金会;

关键词：

abelian group; soluble group; soluble product; variety of groups;

D O I：

10.1134/S0037446611020212

中图分类号：

学科分类号：

摘要：

We consider the product G of abelian groups in the variety Un of soluble groups of length at most n. Provided that the abelian factors are decomposable into direct products of cyclic groups, we find necessary and sufficient conditions for G to generate the variety Un. © 2011 Pleiades Publishing, Ltd.

引用

页码：372 / 376

页数：4

共 50 条

[31] On height of group trees on tame abelian product groups
He, Jialiang
MATHEMATICAL LOGIC QUARTERLY, 2021, 67 (03) : 374 - 381
[32] GENERAL PRODUCT OF 2 FINITELY GENERATED ABELIAN GROUPS
SCHENKMAN, E
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 21 (01) : 202 - +
[33] On the finiteness of the non-abelian tensor product of groups
Bastos, Raimundo
Nakaoka, Irene N.
Rocco, Norai R.
JOURNAL OF ALGEBRA, 2025, 664 : 251 - 267
[34] pl-torsion points in finite abelian groups and combinatorial identities
Delaunay, Christophe
Jouhet, Frederic
ADVANCES IN MATHEMATICS, 2014, 258 : 13 - 45
[35] CRITICAL GROUPS HAVING CENTRAL MONOLITHS OF A NILPOTENT BY ABELIAN PRODUCT VARIETY OF GROUPS
WOEPPEL, JJ
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 225 (JAN) : 155 - 161
[36] Gelfand Pairs Involving the Wreath Product of Finite Abelian Groups with Symmetric Groups
Tout, Omar
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2021, 64 (01): : 91 - 97
[37] Nonabelian tensor product of soluble minimax groups
Russo, Francesco
COMPUTATIONAL GROUP THEORY AND THE THEORY OF GROUPS, II, 2010, 511 : 179 - 183
[38] Multiresolution analysis on product of zero-dimensional Abelian groups
Lukomskii, S. F.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 385 (02) : 1162 - 1178
[39] TENSOR PRODUCT OF TORSION-FREE ABELIAN-GROUPS
FOMIN, AA
SIBERIAN MATHEMATICAL JOURNAL, 1975, 16 (05) : 820 - 827
[40] ON THE FITTING LENGTH OF A SOLUBLE PRODUCT OF NILPOTENT GROUPS
FRANCIOSI, S
DEGIOVANNI, F
HEINEKEN, H
NEWELL, ML
ARCHIV DER MATHEMATIK, 1991, 57 (04) : 313 - 318

← 1 2 3 4 5 →