Grupos de Klein

Klein groups are mathematical objects that describe symmetries of certain shapes, specifically the projective plane, which is a type of surface where lines always intersect and points at infinity are included. Named after mathematician Felix Klein, these groups encapsulate how the shape can be rotated, reflected, or otherwise transformed without changing its fundamental properties. They are important in geometry and mathematical physics because they help us understand symmetrical structures and their invariances. In simple terms, Klein groups help classify and analyze the different ways you can manipulate certain shapes while keeping their core structure intact.