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In mathematics, an involution, or an involutory function, is a function f that is its own inverse, f(f(x)) = x for all x in the domain of f. Equivalently, applying f twice produces the original value. The term anti-involution refers to involutions based on antihomomorphisms (see below) f(xy) = f(y) f(x) such that xy = f(f(xy)) = f( f(y) f(x) ) = f(f(x)) f(f(y)) = xy.

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• Involution (mathematics)
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• In mathematics, an involution, or an involutory function, is a function f that is its own inverse, f(f(x)) = x for all x in the domain of f. Equivalently, applying f twice produces the original value. The term anti-involution refers to involutions based on antihomomorphisms (see below) f(xy) = f(y) f(x) such that xy = f(f(xy)) = f( f(y) f(x) ) = f(f(x)) f(f(y)) = xy.
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