Recent content by ESLASL1

  1. E

    Permutations of S_36; Subgroup

    I'm sorry... I am really lost. Could the question be restated as: Is D_4 (group order 8) a subgroup of S_36?
  2. E

    Permutations of S_36; Subgroup

    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...
  3. E

    Modern Algebra - Finite Subgroups of Q*

    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.
  4. E

    Modern Algebra - Finite Subgroups of Q*

    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...