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

页码：311 / 317

页数：7

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