Article
| Title: | On a group-theoretical generalization of the Gauss formula (English) |
| Author: | Fasolă, Georgiana |
| Author: | Tărnăuceanu, Marius |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 1 |
| Year: | 2023 |
| Pages: | 311-317 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | 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. (English) |
| Keyword: | Gauss formula |
| Keyword: | Euler's totient function |
| Keyword: | automorphism group |
| Keyword: | finite group |
| Keyword: | cyclic group |
| Keyword: | abelian group |
| MSC: | 11A25 |
| MSC: | 11A99 |
| MSC: | 20D60 |
| MSC: | 20D99 |
| idZBL: | Zbl 07655770 |
| idMR: | MR4541104 |
| DOI: | 10.21136/CMJ.2022.0225-22 |
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| Date available: | 2023-02-03T11:16:22Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151519 |
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| Reference: | [12] Sehgal, A., Sehgal, S., Sharma, P. K.: The number of automorphism of a finite abelian group of rank two.J. Discrete Math. Sci. Cryptography 19 (2016), 163-171. Zbl 07509102, MR 3502205, 10.1080/09720529.2015.1103469 |
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