MATH 546 Midterm: MATH546 South Carolina 546 94 2 nospace
Document Summary
The exam is worth a total of 50 points. 5 and 6 are worth 9 points each. The other problems are worth 8 points each. In this exam, a subgroup h of a group g is called proper is h ( g : true or false. (if true, prove it. If every proper subgroup h of a group g is cyclic, then g is cyclic: true or false. (if true, prove it. If g is a cyclic group, then every proper subgroup h of g is cyclic: true or false. (if true, prove it. If every proper subgroup h of a group g is abelian, then g is abelian: true or false. (if true, prove it. If h is the set of odd permutations in s5 , then h is a group: true or false. (if true, prove it. If a is a nite set and b is an element of a , then.
