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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
Received: 25.11.2015
Revised: 04.12.2015
Language:

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
\Bibitem{Oll15}
\by M.~A.~Ollis
\paper Constructing R-sequencings and terraces for groups of even order
\jour Algebra Discrete Math.
\yr 2015
\vol 20
\issue 2
\pages 297--316
\mathnet{http://mi.mathnet.ru/adm545}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3453818}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000378729300008}


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