MTH633 Practice Questions Lectures 29-31 Modules 114-126 by VUBuddy

Practice Questions · MTH633 · Lectures ( 29 – 31 ) or Modules ( 114 – 126 )

Q1. Every subgroup H of an abelian group G is normal.

Q2. The set of all inner automorphisms of G is a subgroup of Aut(G).

Q3. A factor group of a cyclic group is cyclic.

Q4. Prove that Aut (ℤn) ≅Un.

Q5. Let H, a subgroup of a group G be a normal subgroup of G, then ghg-1∊H for all g∊G and

h∊H.