orbitfiniteness
Orbitfiniteness is a property within the field of group theory, a branch of mathematics that studies algebraic structures known as groups. The concept pertains to the action of groups on sets and describes a specific finiteness condition related to these actions.
In particular, a group G acting on a set X is said to be orbitfinite if, for
Orbitfiniteness is closely related to notions of finiteness in models of algebraic structures and has applications
A key aspect of orbitfiniteness is its role in the study of orbit-finite automata and orbit-finite models,
In summary, orbitfiniteness describes a finiteness condition for the orbits generated by a group acting on