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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2015 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155145 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Ollis, M. 2019-06-16T09:48:46Z 2019-06-16T09:48:46Z 2015 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. https://nasplib.isofts.kiev.ua/handle/123456789/155145 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. I am grateful to Gage Martin and Devin Willmott for their insights and commentary relating to this work. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Constructing R-sequencings and terraces for groups of even order Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Constructing R-sequencings and terraces for groups of even order |
| spellingShingle |
Constructing R-sequencings and terraces for groups of even order Ollis, M. |
| 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 |
| author |
Ollis, M. |
| author_facet |
Ollis, M. |
| publishDate |
2015 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155145 |
| fulltext |
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| 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. |
| work_keys_str_mv |
AT ollism constructingrsequencingsandterracesforgroupsofevenorder |
| first_indexed |
2025-11-24T04:43:09Z |
| last_indexed |
2025-11-24T04:43:09Z |
| _version_ |
1850842267413118976 |