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
收藏
页码：540 / 549
页数：10
相关论文
共 50 条
  • [1] Factoring finite abelian groups by subsets with maximal span
    Szaboó, Sandor
    [J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2006, 20 (04) : 920 - 931
  • [2] A Hajos type result on factoring finite abelian groups by subsets II
    Corradi, Keresztely
    Szabo, Sandor
    [J]. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2010, 51 (01): : 1 - 8
  • [3] Factoring abelian groups into uniquely complemented subsets
    Corradi, Keresztely
    Szabo, Sandor
    [J]. JOURNAL OF GROUP THEORY, 2011, 14 (02) : 307 - 327
  • [4] Factoring Abelian Groups, Cliques in Graphs and Covering Sets
    Szabo, Sandor
    [J]. ALGEBRA COLLOQUIUM, 2011, 18 (02) : 211 - 220
  • [5] ON FINITE ABELIAN GROUPS
    HOARE, AHM
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1968, 75 (01): : 40 - &
  • [6] The finite Abelian groups
    Chatelet, A
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1922, 175 : 85 - 87
  • [7] INTEGER t-SHIFT CODES AND FACTORING ABELIAN GROUPS
    Szabo, Sandor
    [J]. INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2011, 10 : 25 - 36
  • [8] FACTORING CERTAIN INFINITE ABELIAN GROUPS BY DISTORTED CYCLIC SUBSETS
    Szabo, Sandor
    [J]. INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2009, 6 : 95 - 106
  • [9] FACTORING ABELIAN GROUPS WHOSE ORDERS ARE PRODUCTS OF FOUR PRIMES
    Sandor Szabo
    [J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2009, 46 (02) : 205 - 221
  • [10] FACTORING NONABELIAN FINITE GROUPS INTO TWO SUBSETS
    Bildanov, R. R.
    Goryachenko, V. A.
    Vasil'ev, A. V.
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2020, 17 : 683 - 689
12345