Finite Abelian Groups via Congruences

被引：0
|
作者：
Wooley, Trevor D. [1 ]
机构：
[1] Purdue Univ, Dept Math, 150 N Univ St, W Lafayette, IN 47907 USA
来源：
AMERICAN MATHEMATICAL MONTHLY | 2023年 / 130卷 / 05期
关键词：
20K01; 11A07;
D O I：
10.1080/00029890.2023.2178221
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For every finite abelian group G, there are positive integers n and d such that G is isomorphic to the multiplicative group of d-th powers of reduced residues modulo n.
引用
收藏
页码：482 / 484
页数：3
相关论文
共 50 条
  • [31] On the Heyde Theorem for Finite Abelian Groups
    G. M. Feldman
    Journal of Theoretical Probability, 2004, 17 : 929 - 941
  • [32] Difference bases in finite Abelian groups
    Taras Banakh
    Volodymyr Gavrylkiv
    Acta Scientiarum Mathematicarum, 2019, 85 : 119 - 137
  • [33] On hyper (abelian of finite rank) groups
    Wehrfritz, B. A. F.
    ALGEBRA COLLOQUIUM, 2008, 15 (03) : 361 - 370
  • [34] ON A PARTITION PROBLEM OF FINITE ABELIAN GROUPS
    Qu, Zhenhua
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2015, 92 (01) : 24 - 31
  • [35] Power graph of finite abelian groups
    Chelvam, T. Tamizh
    Sattanathan, M.
    ALGEBRA & DISCRETE MATHEMATICS, 2013, 16 (01): : 33 - 41
  • [36] Isolated Subgroups of Finite Abelian Groups
    Tarnauceanu, Marius
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2022, 72 (02) : 615 - 620
  • [37] On the Heyde theorem for finite Abelian groups
    Feldman, GM
    JOURNAL OF THEORETICAL PROBABILITY, 2004, 17 (04) : 929 - 941
  • [38] A characterization of finite abelian groups via sets of lengths in transfer Krull monoids
    Zhong, Qinghai
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (09) : 4021 - 4041
  • [39] The Reidemeister Spectrum of Finite Abelian Groups
    Senden, Pieter
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2023, 66 (04) : 940 - 959
  • [40] On perfect bases in finite abelian groups
    Bajnok, Bela
    Berson, Connor
    Just, Hoang Anh
    INVOLVE, A JOURNAL OF MATHEMATICS, 2022, 15 (03): : 525 - 536
12345