Mark each of the following true or false. 

___ a. Every subgroup of every group has left cosets. 

___ b. The number of left cosets of a subgroup of a finite group divides the order of the group. 

___ c. Every group of prime order is abelian. 

___ d. One cannot have left cosets of a finite subgroup of an infinite group. 

___ e. A subgroup of a group is a left coset of itself. 

___ f. Only subgroups of finite groups can have left cosets. 

___ g. A11 is of index 2 in S11 for n > 1. 

___ h. The theorem of Lagrange is a nice result. 

___ i. Every finite group contains an element of every order that divides the order of the group. 

___ j. Every finite cyclic group contains an element of every order that divides the order of the group.