Factoring finite abelian groups

被引：5

作者：

Sands, AD ^{[1
]}

机构：

[1] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland

来源：

JOURNAL OF ALGEBRA | 2004年 / 275卷 / 02期

关键词：

factorization; abelian group;

D O I：

10.1016/j.jalgebra.2003.08.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that if in the factorization of a finite cyclic group each factor has either prime power order or order equal to the product of two primes then one factor must be periodic. This is shown to be the best possible result of this type. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：540 / 549

页数：10

共 50 条

[21] A NOTE ON FINITE ABELIAN GROUPS
PAIGE, LJ
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1947, 53 (06) : 590 - 593
[22] Lattices of Finite Abelian Groups
Frieder Ladisch
[J]. Discrete & Computational Geometry, 2021, 65 : 938 - 951
[23] ON THE INVARIANTS OF FINITE ABELIAN GROUPS
DOUGLAS, J
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (01) : 40 - 41
[24] On capability of finite abelian groups
Sunic, Zoran
[J]. ARCHIV DER MATHEMATIK, 2009, 93 (01) : 23 - 28
[25] ON THE FINITE FACTOR GROUPS OF ABELIAN GROUPS OF FINITE RATIONAL RANK
ABHYANKAR, S
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1957, 79 (01) : 190 - 192
[26] Bounds in groups with finite abelian coverings or with finite derived groups
Podoski, K
Szegedy, B
[J]. JOURNAL OF GROUP THEORY, 2002, 5 (04) : 443 - 452
[27] FACTORING AN ABELIAN GROUP
SUMNER, DP
[J]. AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (03): : 315 - &
[28] PRIMARY ABELIAN GROUPS MODULO FINITE GROUPS
ENSEY, RJ
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1969, 29 (01) : 77 - &
[29] Products of finite abelian groups as profinite groups
Krupinski, K
[J]. JOURNAL OF ALGEBRA, 2005, 288 (02) : 556 - 582
[30] Difference bases in finite Abelian groups
Taras Banakh
Volodymyr Gavrylkiv
[J]. Acta Scientiarum Mathematicarum, 2019, 85 : 119 - 137

← 1 2 3 4 5 →