cocenter
The term "cocenter" is a concept in group theory, a branch of abstract algebra. It is defined as the set of all elements in a group that commute with every element of the group. In other words, the cocenter of a group G is the set of all elements g in G such that for every h in G, the equation gh = hg holds true.
The cocenter of a group is always a subgroup of the group. It is also known as
The cocenter of a group can be used to determine certain properties of the group. For example,
The cocenter of a group can also be used to study the structure of the group. For
In summary, the cocenter of a group is a subgroup that consists of all elements that commute