Let .
1. The commutator subgroup of I got is .
2. The quotient group of .
Is above 1&2 correct?
Since the maximum order of elements in is 12, the above 2 seems wrong. ((12 * 24!) / (0.5 *24!) = 24 ).
If 2 is wrong, what is the quotient group of 2?
Let .
1. The commutator subgroup of I got is .
2. The quotient group of .
Is above 1&2 correct?
Since the maximum order of elements in is 12, the above 2 seems wrong. ((12 * 24!) / (0.5 *24!) = 24 ).
If 2 is wrong, what is the quotient group of 2?
We need to know that . To prove this just consider a commutator, where and . We can rewrite . But and . Therefore, the subgroup generated by the commutators i.e. is equal to .
Now the commutator subgroup of is (not !) While it is an established result that the commutator of is .
Therefore, I agree with your result.