Prove that if A and 8 are finite subgroups of a group G, and IAI and 181 have no commondivisor greater than 1, then A n 8 = (e). (See 7.13.)

M303 Section 4.1 Notes- Vector Spaces and Subspaces 10-24-16 Vector space - nonempty set of objects (vectors) on which addition and scalar multiplication are defined and subject to 10 axioms that must hold for all vectors ,, and scalars ,: o + o + = + o ( + + = + ( + ) o such that + = o For each , there exists a vector − such that + − = o o + = + o ( + = + o = ) o