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, includ...
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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2015 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2015
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155145 |
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| Цитувати: | Constructing R-sequencings and terraces for groups of even order / M. Ollis // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 297-316. — Бібліогр.: 21 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155145 |
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irk-123456789-1551452019-06-17T01:26:17Z Constructing R-sequencings and terraces for groups of even order Ollis, M. 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 (mod7). 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. 2015 Article Constructing R-sequencings and terraces for groups of even order / M. Ollis // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 297-316. — Бібліогр.: 21 назв. — англ. 1726-3255 2010 MSC:Primary 20D60; Secondary 05B99. http://dspace.nbuv.gov.ua/handle/123456789/155145 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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 (mod7). 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. |
| format |
Article |
| author |
Ollis, M. |
| spellingShingle |
Ollis, M. Constructing R-sequencings and terraces for groups of even order Algebra and Discrete Mathematics |
| author_facet |
Ollis, M. |
| author_sort |
Ollis, M. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155145 |
| citation_txt |
Constructing R-sequencings and terraces for groups of even order / M. Ollis // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 297-316. — Бібліогр.: 21 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT ollism constructingrsequencingsandterracesforgroupsofevenorder |
| first_indexed |
2023-05-20T17:46:09Z |
| last_indexed |
2023-05-20T17:46:09Z |
| _version_ |
1796154045726982144 |