Homework Statement
Given Information: If sigma is a permutation of a set A, we say sigma moves "a" in set A iff sigma("a") is not equal to "a".
For the symmetric group S_36 of all permutations of 36 elements, let H be a subset of S_36 containing all permutations that move no more than for...
You are right. I do want finite subgroups of Q* and neither of the two I mentioned are as such. Thank you for pointing this out. Of course, now I am even more frustrated and unclear as to how to pursue the solution.
Homework Statement
Find all the subgroups of Q* (set of all non-zero rational #s) under multiplication. Explain how you know that Q* has no other finite subgroups.Homework Equations
The subgroups must satisfy the properties of association, closure, inverse, and identity.
The Attempt at a...