Texts: Group Theory. Explain T/F
10. Determine whether each of the following statements is true or false. If it is true, briefly justify. If it is false, find a counterexample to the statement. Assume A, O, and S.
a. If n^2, then BSn.
b. If the only non-singleton orbit of S is {3, 5, 6, 9, 11}, then A12.
c. If {1, 5, 9, 19} is an orbit of Szo, then 30 has at least one non-singleton orbit.
d. S is isomorphic to the subgroup {S: (8 is an orbit of } of S.
T T T T
F F F F