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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2015 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2015
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155145 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862533022461460480 |
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| author | Ollis, M. |
| author_facet | Ollis, M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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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| first_indexed | 2025-11-24T04:43:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155145 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T04:43:09Z |
| publishDate | 2015 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Constructing R-sequencings and terraces for groups of even order Ollis, M. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155145 |
| work_keys_str_mv | AT ollism constructingrsequencingsandterracesforgroupsofevenorder |