An Extension Theorem for Terraces

作者：Ollis M A^*; Willmott Devin T

来源：Electronic Journal of Combinatorics, 2013, 20(2): P34.

• 2-sequencing
• Bailey's conjecture
• extendable terrace
• rotational terrace
• terrace

We generalise an extension theorem for terraces for abelian groups to apply to non-abelian groups with a central subgroup isomorphic to the Klein 4-group V. We also give terraces for three of the non-abelian groups of order a multiple of 8 that have a cyclic subgroup of index 2 that may be used in the extension theorem. These results imply the existence of terraces for many groups that were not previously known to be terraced, including 27 non-abelian groups of order 64 and all groups of the form V-s x D-8t for all s and all t > 1 where D-8t is the dihedral group of order 8t.

• 出版日期2013-5-24