Constructing R-sequencings and terraces for groups of even order
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Constructing R-sequencings and terraces for groups of even order
|
|
| Creator |
Ollis, M.
|
|
| 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.
|
|
| Date |
2019-06-16T09:48:46Z
2019-06-16T09:48:46Z 2015 |
|
| Type |
Article
|
|
| Identifier |
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 |
|
| Language |
en
|
|
| Relation |
Algebra and Discrete Mathematics
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|