| Title: | Cyclic m-DCI-groups and m-CI-groups |
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| Authors: | ID Kovács, István (Author)
ID Šinkovec, Luka (Author) |
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| Files: |  https://adam-journal.eu/index.php/ADAM/article/view/1740
 RAZ_Kovacs_Istvan_2025.pdf (446,08 KB)
MD5: 3E1B8BC237570D76E29951B8DC411F14
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FAMNIT - Faculty of Mathematics, Science and Information Technologies
IAM - Andrej Marušič Institute
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| Abstract: | Based on the earlier work of Li from 1997 and Dobson from 2008, in this paper we complete the classification of cyclic m-DCI-groups and m-CI-groups. For a positive integer m such that m ≥ 3, we show that the group ℤ_(n) is an m-DCI-group if and only if n is not divisible by 8 nor by p² for any odd prime p < m. Furthermore, if m ≥ 6, then we show that ℤn is an m-CI-group if and only if either n ∈ {8, 9, 18}, or n ∉ {8, 9, 18} and n is not divisible by 8 nor by p² for any odd prime p < (m - 1)/2. |
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| Keywords: | Cayley graph, cyclic group, m-CI-group, m-DCI-group |
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| Publication version: | Version of Record |
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| Publication date: | 28.03.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | str. 1-12 |
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| Numbering: | Vol. 8, no. 1 |
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| PID: | 20.500.12556/RUP-21153  |
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| UDC: | 519.17 |
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| ISSN on article: | 2590-9770 |
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| DOI: | 10.26493/2590-9770.1740.b72 |
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| COBISS.SI-ID: | 230978307 |
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| Publication date in RUP: | 01.04.2025 |
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| Views: | 937 |
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| Downloads: | 12 |
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| Metadata: |    |
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