Home / Expert Answers / Advanced Math / let-g-be-a-group-suppose-that-h-and-l-are-subgroups-of-g-such-that-l-is-a-normal-subgroup-of-h-an-pa112

(Solved): Let G be a group. Suppose that H and L are subgroups of G, such that L is a normal subgroup of H, an ...



Let G be a group. Suppose that H and L are subgroups of G, such that L is a normal subgroup of H, and that H is a normal subgroup of G. Let xinG and consider ()/(bar) (L)=xLx^(-1). a()/(bar) (L) is a subgroup of H. b()/(bar) (L) is normal in H. cainG, show that the elements a and xax^(-1) have the same order.


We have an Answer from Expert

View Expert Answer

Expert Answer


We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe