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.
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页码：311 / 317
页数：7
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