Groups share a fundamental kinship with the notion of <answer>symmetry</answer>. For example, a <answer>symmetry</answer> group encodes <answer>symmetry</answer> features of a geometrical object: the group consists of the set of transformations that leave the object unchanged and the operation of combining two such transformations by performing one after the other. Lie groups are the <answer>symmetry</answer> groups used in the Standard Model of particle physics; Point groups are used to help understand <answer>symmetry</answer> phenomena in molecular chemistry; and Poincaré groups can express the physical <answer>symmetry</answer> underlying special relativity.
What shares an essential relationship to groups?
symmetry