Geodesic
Constructing R-sequencings and terraces for groups of even order
Algebra and discrete mathematics, Tome 20 (2015) no. 2, pp. 297-316

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {M. A. Ollis},
     title = {Constructing {R-sequencings} and terraces for groups of even order},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2015_20_2_a7/}
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M. A. Ollis. Constructing R-sequencings and terraces for groups of even order. Algebra and discrete mathematics, Tome 20 (2015) no. 2, pp. 297-316. http://geodesic.mathdoc.fr/item/ADM_2015_20_2_a7/