Hi everyone

I got this question which I dont understand:

Identify [http://www.mathhelpforum.com/math-he...b56e522f-1.gif]* as an abstract group.

(I have already show that http://www.mathhelpforum.com/math-he...b56e522f-1.gif is a field by computing its multiplicative monoid and I get the table.)

I am thinking of the inverse, associative and the identity which are the properties to prove that [http://www.mathhelpforum.com/math-he...b56e522f-1.gif]* is a group. Is this true?

If it is a group then what is it isomorphic to? Is it C_8? because it has 8 elements

Thanks in advance for any idea you give