\leftthreetimesThe \leftthreetimes symbol is used to denote a specific type of product in group theory, known as the semidirect product. It is an operation that combines two groups into a new group, where one of the groups acts on the other in a specific way.
Denotes the semidirect product of groups G and H.
G \leftthreetimes HRepresents the semidirect product where H acts on N via the homomorphism \varphi.
N \leftthreetimes_\varphi HAn example of a semidirect product between the integers and the cyclic group of order 2.
\mathbb{Z} \leftthreetimes \mathbb{Z}_2