  We study the effect of group interactions on the emergence of consensus in a
spin system. Agents with discrete opinions $\{0,1\}$ form groups. They can
change their opinion based on their group's influence (voter dynamics), but
groups can also split and merge (adaptation). In a hypergraph, these groups are
represented by hyperedges of different sizes. The heterogeneity of group sizes
is controlled by a parameter $\beta$. To study the impact of $\beta$ on
reaching consensus, we provide extensive computer simulations and compare them
with an analytic approach for the dynamics of the average magnetization. We
find that group interactions amplify small initial opinion biases, accelerate
the formation of consensus and lead to a drift of the average magnetization.
The conservation of the initial magnetization, known for basic voter models, is
no longer obtained.
