Abstract algebra mid(2)

H and K are two Subgroups of a group (G,.) , then which of the following is a subgroup

In any group G, the number of identity elements is.....

Let H is a subgroup of G, then the identity of H is.....

If H is a subgroup of a group G then for any a,b in G, Ha=Hb implies

The number of generators of an infinite cyclic group is......

To define the quotient group G/N of a group G then N must be

If p,q are any two elements of a group G then the equations px=q and yp=q have in G

The number of right cosets of any Subgroup of a finite group G is.... the number of left cosets

If a is a generator of a cyclic group G, then........is also a generator of G

If a finite group of order n contains an element of order n, then the group must be ....