# list the subgroups

• September 28th 2008, 03:10 PM
mandy123
list the subgroups
List the subgroups of Z sub 24. List the generators for the subgroup of order 8
• September 28th 2008, 03:20 PM
ThePerfectHacker
Quote:

Originally Posted by mandy123
List the subgroups of Z sub 24. List the generators for the subgroup of order 8

The subgroups of $\mathbb{Z}_{24}$ as $k\mathbb{Z}_{24}$ where $k|24$.
• September 28th 2008, 03:34 PM
mandy123
so the subgroups would be 2,3,4,6,8,12

And the generators for the subgroup of order 8 would be
2 and 6
3 and 5
1 and 7
?