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A short vertical line with two side strokes, combining a group with a permutation action.
Also known as: Wreath product, Wr, Wreath sign
The wreath product is how a group of symmetries acting on positions is combined with a group acting at each position — the symmetry group of a stack of identical objects that can also be permuted. It appears wherever a structure is built from copies of another arranged in a pattern.
Denotes the wreath product of two groups: several copies of one, permuted by the action of the other.
Contexts: Mathematics
Is the automorphism group of a rooted tree level by level, which is why it appears constantly in the classification of permutation groups.
Contexts: Mathematics
A short upright stroke with two shorter horizontal strokes crossing it near its ends, resembling a narrow letter I.