Let G be a group of order 7 and θ(x)=x^4 then θ is?
- not one one
- not onto
- not an homomorphism
- one one onto and homomorphism
Clearly x^4 is not one one and onto but the correct answer is fourth one.
Identifying an isomorphism
0
$\begingroup$
group-isomorphism
-
0Why do you think it's not one-to-one or onto? – 2017-02-06
-
0Why do you write, "clearly $x^4$ is not one one..." Do you understand how things work in a group of order 7? – 2017-02-06
-
0As a normal function it's not one one...I'm not very sure how things work out in groups. – 2017-02-06
-
1All right I get it.... For every element in the group it gives distinct images so it's one one.. – 2017-02-06