Key establishment (KE) protocols are cryptographic constructions allowing entities that communicate over an insecure network to establish a shared high-entropy secret. This secret key may subsequently be used to secure their communication (e.g., by means of symmetric encryption). If only \(n=2\) parties are considered, there are trusted KE constructions that may even be used if potential adversaries have access to quantum technologies. Indeed, such designs are being deployed today both in a classical scenario (where users are modeled as standard Turing machines) and in a quantum scenario, where the two honest actors are assumed to have access to quantum resources for preparing, sending, and measuring quantum bits. Things are not so well established for the case of \(n > 2\) participants. In this note, we review several proposals for group key establishment (GKE) in the post-quantum scenario, that is, considering classical entities that aim at establishing a secure key despite the action of potential quantum adversaries.