### Abstract Alegbra I

Posted:

**Tue Sep 20, 2011 11:02 am**Dear all, I never really took abstract alegbra, so your help is highly appreciated.

9367:

#59

Two subgroups H and K of a group G have orders 12 and 30, respectively. Which of the following could NOT be the order of the subgroup of G generated by H and K?

The answer is A: 30.

0568:

#49

Up to isomorphism, how many additive abelian groups G of order 16 have the property that x + x + x + x = 0 for each x in G?

The answer is D: 3.

9367

#55

The answer is E.

9768

#59

The answer is A.

9768

#19

The answer is B.

9367:

#59

Two subgroups H and K of a group G have orders 12 and 30, respectively. Which of the following could NOT be the order of the subgroup of G generated by H and K?

The answer is A: 30.

0568:

#49

Up to isomorphism, how many additive abelian groups G of order 16 have the property that x + x + x + x = 0 for each x in G?

The answer is D: 3.

9367

#55

The answer is E.

9768

#59

The answer is A.

9768

#19

The answer is B.