Homework2

H nad K are two subgroups of G then HK is asubgroup of G

• TRUE

• FALSE

Say true or false: Number of elements in the normalizer of a in G is the index of the normalizer of a in G

• True

• False

Every subgroup of every group has left cosets.

• true

• false

• cant be determined

Intersection of two normal subgroups of G is a __________ of G.                       

• normal subgroup

• cyclic group

• subgroup

• group

Two rings are said to be be ________ if there is an isomorphism of one-one onto the other.

• homomorphic

• kernel

• zero element

• isomorphic

Which of the following is false?