\rightthreetimes

The \rightthreetimes symbol is used to denote a semidirect product in group theory, which is a way to construct a new group from two subgroups, one of which acts on the other.

Examples

Denotes the semidirect product of groups G and H.

G \rightthreetimes H

Represents a semidirect product where H acts on N via the homomorphism \varphi.

N \rightthreetimes_\varphi H

An example of a semidirect product between the integers and the cyclic group of order 2.

\mathbb{Z} \rightthreetimes \mathbb{Z}_2