Anticommutation is a mathematical concept that denotes the operation where the order of two elements in a group is reversed and multiplied by a negative sign. Some synonyms for anticommutation include anti-symmetry, skew-symmetry, and alternation. Antisymmetric relation refers to a binary relation that satisfies the law of anticommutation. Skew-symmetry is also used in the context of matrices where the transpose of a matrix multiplied by a negative scalar is equal to the negative of the matrix. Meanwhile, the term alternation is used to describe the process of rearranging a list or string of elements such that no two of the same type or value appear consecutively.