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 Algebra Discrete Math.: Year: Volume: Issue: Page: Find

 Algebra Discrete Math., 2015, Volume 20, Issue 2, Pages 297–316 (Mi adm545)

RESEARCH ARTICLE

Constructing R-sequencings and terraces for groups of even order

M. A. Ollis

Marlboro College

Abstract: 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 $(\operatorname{mod} 7)$. 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.

Keywords: 2-sequencing, Bailey's Conjecture, R-sequencing, terrace.

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Bibliographic databases:
MSC: Primary 20D60; Secondary 05B99
Revised: 04.12.2015
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Citation: M. A. Ollis, “Constructing R-sequencings and terraces for groups of even order”, Algebra Discrete Math., 20:2 (2015), 297–316

Citation in format AMSBIB
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