Abstract. This paper proposes decentralized processes for synchronizing the actions of a distributed group of active components (objects) in supercomputers and computer clusters, allowing them to move to specified states or influence the external environment synchronously. The object action depends on the current state of the object and the external environment. The actions should start with a minimum delay after the possibility of their execution is detected. Synchronization is performed by exchanging optical signals over wireless communication channels through an optical signal repeater, combining one group of objects or sequences of groups of objects (layers). Accurate distance measurement performs the compensation of possible changes in distances between objects. Group operations accelerate synchronization and simultaneously receive data from a group of distributed objects. Data processing occurs during their transfer, without increasing the time. The operation time does not depend on the quantity of data processed by the operation. A group operation is performed in a repeater containing no computational means.