# Math Help - cardinality of the centre of group

1. ## cardinality of the centre of group

How to find the cardinality of the centre of Z12​ ?.......

2. ## Re: cardinality of the centre of group

Originally Posted by binu01234
How to find the cardinality of the centre of Z12​ ?.......
Look carefully at the definition of the centre of a group.

In any Abelian group what is the centre?

How are you defining $\mathcal{Z}_{12}~?$

3. ## Re: cardinality of the centre of group

ok thanks is there any way to find the cardinality if the group if it is not abelian for eg in S5 can we find the centre?