Zero Group

In mathematics, a Zero Group (also called the trivial group) is a set containing only one element—the identity element, often written as 0 or e—that acts as a neutral element under a specific operation. For example, in addition, the zero element leaves any number unchanged: adding zero to any number gives that number. Zero groups are important because they represent the simplest possible structure within the group theory framework, serving as a baseline to understand more complex groups. Essentially, it's a mathematical system with just one element that satisfies all the group's rules.