  J. L. Andersen proved that there is 5-torsion in the bottom nonvanishing
homology group of the simplicial complex of graphs of degree at most two on
seven vertices. We use this result to demonstrate that there is 5-torsion also
in the bottom nonvanishing homology group of the matching complex $M_{14}$ on
14 vertices. Combining our observation with results due to Bouc and to
Shareshian and Wachs, we conclude that the case $n=14$ is exceptional; for all
other $n$, the torsion subgroup of the bottom nonvanishing homology group has
exponent three or is zero. The possibility remains that there is other torsion
than 3-torsion in higher-degree homology groups of $M_n$ when $n \ge 13$ and $n
\neq 14$.
