/sci/ - Science & Math

>>11074389
>how do I show two groups are isomorphic
It's a two step program:
>uniquely characterize one of them
>show that the other satisfies said characterization
For example, [math]Z_4[/math] is the only cyclic group of order 4. If you want to show the other group is isomorphic to it, find an element which generates it and has order four.

I get the impression that in the first problem you've posted, the second group collapses to either Z_2 or Z_3, neither of which is hard to embed in S_5.