  We present an analysis of the entanglement characteristics in the
Majumdar-Ghosh (MG) or $J_{1}$-$J_{2}$ Heisenberg model. For a system
consisting of up to 28 spins, there is a deviation from the scaling behaviour
of the entanglement entropy characterizing the unfrustrated Heisenberg chain as
soon as $J_{2} >0.25$. This feature can be used as an indicator of the dimer
phase transition that occurs at $J_{2} = J_{2}^{*} \approx 0.2411 J_{1}$.
Additionally, we also consider entanglement at the MG point $J_{2}=0.5 J_{1}$.
