Recent content by bokasabi

  1. B

    S5 Permutations: Can a & b Create Cycle d?

    Homework Statement can cycles a and b create cycle d? let cycle a = 123 cycle b=12345 cycle d = 12 i.e. can some combination of a and b = d Homework Equations only working in S5The Attempt at a Solution I have tried various different permutations, 23 over all, things like aba, ab(a^-1)...
  2. B

    Is S Isomorphic to Any Commonly Known Fields?

    got it, thanks
  3. B

    Is S Isomorphic to Any Commonly Known Fields?

    I am not sure what that means
  4. B

    Is S Isomorphic to Any Commonly Known Fields?

    Homework Statement let S be the ring of all pairs (q,s) with q,s being rational. define (q,s) + (q',s') = (q+q',s+s') and (q,s)(q',s') = (qs'+q's,3qq'+ss') Prove that S is a field. Homework Equations Try proving that it is isomorphic to something else using the First homomorphism...