  We survey the coevolutionary dynamics of network topology and group
interactions in opinion formation, grounded on a coevolving nonlinear voter
model. The coevolving nonlinear voter model incorporates two mechanisms: group
interactions implemented through nonlinearity in the voter model and network
plasticity demonstrated as the rewiring of links to remove connections between
nodes in different opinions. We show that the role of group interactions,
implemented by the nonlinearity can significantly impact both the dynamical
outcomes of nodes' state and the network topology. Additionally, we review
several variants of the coevolving nonlinear voter model considering different
rewiring mechanisms, noise of flipping nodes' state, and multilayer structures.
We portray the various aspects of the coevolving nonlinear voter model as an
example of network coevolution driven by group interactions, and finally,
present the implications and potential directions for future research.
