Unformatted text preview: (Hint for (a): If G/Z ( G ) = ° gZ ( G ) ± , ±rst show G = { g n z : z ∈ Z ( G ) , n ∈ Z } . ) (4) Show that a subgroup is normal if and only if it is the kernel of a homomorphism. (5) Let G be a group. Show that G/Z ( G ) ∼ = Inn( G ). Department of Mathematics, McGill University, Montreal, QC, H3A 2K6 Canada Email address : [email protected] 1...
View
Full Document
 Fall '07
 Goren
 Algebra, Normal subgroup, Email address, Cyclic group, H3A 2K6 Canada

Click to edit the document details