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 $V^s \times D_{8k}$ for all $s$ and all $k > 1$ where $D_{8k}$ is the dihedral group of order $8k$.
@article{10_37236_2161,
author = {Matt Ollis and Devin Willmott},
title = {An extension theorem for terraces.},
journal = {The electronic journal of combinatorics},
year = {2013},
volume = {20},
number = {2},
doi = {10.37236/2161},
zbl = {1293.20023},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2161/}
}
TY - JOUR
AU - Matt Ollis
AU - Devin Willmott
TI - An extension theorem for terraces.
JO - The electronic journal of combinatorics
PY - 2013
VL - 20
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/2161/
DO - 10.37236/2161
ID - 10_37236_2161
ER -
%0 Journal Article
%A Matt Ollis
%A Devin Willmott
%T An extension theorem for terraces.
%J The electronic journal of combinatorics
%D 2013
%V 20
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/2161/
%R 10.37236/2161
%F 10_37236_2161
Matt Ollis; Devin Willmott. An extension theorem for terraces.. The electronic journal of combinatorics, Tome 20 (2013) no. 2. doi: 10.37236/2161
