On a Group-Theoretical Generalization of the Gauss Formula

被引：0
|
作者：
Fasola, Georgiana [1 ]
Tarnauceanu, Marius [1 ]
机构：
[1] Alexandru Ioan Cuza Univ, Fac Math, Blvd Carol 1 11, Iasi 700506, Romania
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2023年 / 73卷 / 01期
关键词：
Gauss formula; Euler's totient function; automorphism group; finite group; cyclic group; abelian group; FINITE-GROUPS; AUTOMORPHISM-GROUPS; ORDERS; INEQUALITY; NUMBERS;
D O I：
10.21136/CMJ.2022.0225-22
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss a group-theoretical generalization of the well-known Gauss formula involving the function that counts the number of automorphisms of a finite group. This gives several characterizations of finite cyclic groups.
引用
收藏
页码：311 / 317
页数：7
相关论文
共 50 条
  • [21] Group-Theoretical Revision of the Unruh Effect
    Calixto, M.
    Perez-Romero, E.
    Aldaya, V.
    GROUP 28: PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRY: PROCEEDINGS OF THE 28TH INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS, 2011, 284
  • [22] Polarization elements: A group-theoretical study
    Sudha
    Gopala Rao, A.V.
    2001, OSA - The Optical Society (18):
  • [23] A group-theoretical model of the formal neuron
    G. M. Alakoz
    A. A. Salomatov
    Automation and Remote Control, 2007, 68 : 699 - 709
  • [24] GROUP-THEORETICAL STUDIES IN FINITE AUTOMATA
    BRAUER, W
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1968, 48 (08): : T113 - &
  • [25] A group-theoretical property of the ramification filtration
    Abrashkin, VA
    IZVESTIYA MATHEMATICS, 1998, 62 (06) : 1073 - 1094
  • [26] Quantum chaos in the group-theoretical picture
    J Math Phys, 3 (1204):
  • [27] Some properties of group-theoretical categories
    Gelaki, Shlomo
    Naidu, Deepak
    JOURNAL OF ALGEBRA, 2009, 322 (08) : 2631 - 2641
  • [28] GROUP-THEORETICAL CONSTRUCTION OF DUAL AMPLITUDES
    CLAVELLI, L
    RAMOND, P
    PHYSICAL REVIEW D, 1971, 3 (04): : 988 - &
  • [29] GROUP-THEORETICAL TREATMENT OF NILSSON MODEL
    KLINGENBECK, K
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1978, 43 (02): : 255 - 269
  • [30] Polarization elements: a group-theoretical study
    Sudha
    Rao, AVG
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2001, 18 (12) : 3130 - 3134
12345