Does infinity have a specific geometric and topological representation of its own nature, in general? This work seeks to generate a new way of interpreting the intrinsic nature of numbers and their mathematical operations associated with very large quantities, close to infinity. Group theory allows, through a mathematical operation, to relate two elements to a third, which defines a new set and the operation must satisfy some conditions called group axioms: associativity, neutral element, and inverse elements. In this work, the operation is the division. The consequences of this operation represent a maximum deformation between infinite planes leading to the generation of a new numerical structure, as well as a geometric representation in 4 dimensions on a spherical surface in revolution. Results in asymmetrical and mirrored multi-planes. Also, parts of this larger group in R⁴ are numerical subgroups, already defined as real and complex numbers. This proposal is based on the in Fraction Rings or Quotient Rings, seeking to use the morphism theory referring to mapping one mathematical structure to another in such a way that it is preserved in the new structure. Because we understand that his view of the possibility of different infinities opens up possibilities for new interpretations and consequences based on group theory, maintaining the one-to-one correspondence between the elements of the two groups and would persevere in its operations in both groups.