Constructing R-sequencings and terraces for groups of even order
The problem of finding R-sequencings for abelian groups of even orders has been reduced to that of finding R\(^*\)-sequencings for abelian groups of odd orders except in the case when the Sylow 2-subgroup is a non-cyclic non-elementary-abelian group of order~8. We partially address this exception,...
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| Datum: | 2016 |
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| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2016
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/81 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543362870411264 |
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| author | Ollis, Matt |
| author_facet | Ollis, Matt |
| author_sort | Ollis, Matt |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2016-01-12T07:40:37Z |
| description | The problem of finding R-sequencings for abelian groups of even orders has been reduced to that of finding R\(^*\)-sequencings for abelian groups of odd orders except in the case when the Sylow 2-subgroup is a non-cyclic non-elementary-abelian group of order~8. We partially address this exception, including all instances when the group has order \(8t\) for \(t\) congruent to 1, 2, 3 or 4 \((\mod{7})\). As much is known about which odd-order abelian groups are R\(^*\)-sequenceable, we have constructions of R-sequencings for many new families of abelian groups. The construction is generalisable in several directions, leading to a wide array of new R-sequenceable and terraceable non-abelian groups of even order. |
| first_indexed | 2026-02-08T07:58:06Z |
| format | Article |
| id | admjournalluguniveduua-article-81 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:06Z |
| publishDate | 2016 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-812016-01-12T07:40:37Z Constructing R-sequencings and terraces for groups of even order Ollis, Matt 2-sequencing; Bailey's Conjecture; R-sequencing; terrace Primary 20D60; Secondary 05B99 The problem of finding R-sequencings for abelian groups of even orders has been reduced to that of finding R\(^*\)-sequencings for abelian groups of odd orders except in the case when the Sylow 2-subgroup is a non-cyclic non-elementary-abelian group of order~8. We partially address this exception, including all instances when the group has order \(8t\) for \(t\) congruent to 1, 2, 3 or 4 \((\mod{7})\). As much is known about which odd-order abelian groups are R\(^*\)-sequenceable, we have constructions of R-sequencings for many new families of abelian groups. The construction is generalisable in several directions, leading to a wide array of new R-sequenceable and terraceable non-abelian groups of even order. Lugansk National Taras Shevchenko University 2016-01-12 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/81 Algebra and Discrete Mathematics; Vol 20, No 2 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/81/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/81/17 Copyright (c) 2016 Algebra and Discrete Mathematics |
| spellingShingle | 2-sequencing Bailey's Conjecture R-sequencing terrace Primary 20D60 Secondary 05B99 Ollis, Matt Constructing R-sequencings and terraces for groups of even order |
| title | Constructing R-sequencings and terraces for groups of even order |
| title_full | Constructing R-sequencings and terraces for groups of even order |
| title_fullStr | Constructing R-sequencings and terraces for groups of even order |
| title_full_unstemmed | Constructing R-sequencings and terraces for groups of even order |
| title_short | Constructing R-sequencings and terraces for groups of even order |
| title_sort | constructing r-sequencings and terraces for groups of even order |
| topic | 2-sequencing Bailey's Conjecture R-sequencing terrace Primary 20D60 Secondary 05B99 |
| topic_facet | 2-sequencing Bailey's Conjecture R-sequencing terrace Primary 20D60 Secondary 05B99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/81 |
| work_keys_str_mv | AT ollismatt constructingrsequencingsandterracesforgroupsofevenorder |