Group Theory and Network Effectiveness

This paper introduces a suggestion for analysing and modelling dynamic interactions in multi-layered systems and network topologies. The framework leverages group theory to extract patterns, forms, and models, facilitating the study of ecosystems involving data, information, knowledge, science, technology, industry and trade. Key contributions include definitions of patterns, forms, and models, alongside a mathematical approach to measure effectiveness and interactions across hierarchical group networks. This framework aims to advance the study of interconnected systems across domains such as computational networks, multi-agent systems, and organizational ecosystems.