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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| Дата: | 2016 |
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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2016
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| Онлайн доступ: | 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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oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
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OJS |
| language |
English |
| topic |
2-sequencing; Bailey's Conjecture; R-sequencing; terrace Primary 20D60; Secondary 05B99 |
| 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 |
| topic_facet |
2-sequencing; Bailey's Conjecture; R-sequencing; terrace Primary 20D60; Secondary 05B99 |
| format |
Article |
| author |
Ollis, Matt |
| author_facet |
Ollis, Matt |
| author_sort |
Ollis, Matt |
| title |
Constructing R-sequencings and terraces for groups of even order |
| title_short |
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_sort |
constructing r-sequencings and terraces for groups of even order |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2016 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/81 |
| work_keys_str_mv |
AT ollismatt constructingrsequencingsandterracesforgroupsofevenorder |
| first_indexed |
2024-04-12T06:26:18Z |
| last_indexed |
2024-04-12T06:26:18Z |
| _version_ |
1796109212299821056 |