groupstend
Groupstend is a theoretical construct used to describe the collective tendency of a set of groups to align their internal structure under shared transformational rules. In this framework, one considers a family of groups G_i together with a prescribed set of interactions or endomorphisms that act compatibly across members. The central idea is to quantify cohesion across a system by a groupstend value, T, belonging to the interval [0,1], where higher values indicate greater coherence and lower values indicate fragmentation.
In a typical formulation, T is defined via a limiting process that compares subgroup lattices or invariant
Properties include invariance under isomorphisms of the constituent groups and monotonicity with respect to adding compatible
Applications span sociological modeling, distributed consensus, and evolutionary biology, where the aim is to understand when