Special groups

Concepts

• Classification of finite abelian groups 10 exercisesEvery finite abelian group G is isomorphic to a direct product of cyclic groups ℤ_p^k, with p prime and k≥1, unique up to order.
• Dihedral group 10 exercisesThe dihedral group D_n, with n≥3, is the group of symmetries of a regular n-gon, generated by the rotation r by 2π/n and a reflec…
• Simple group 10 exercisesA simple group is a nontrivial group G whose only normal subgroups N are the trivial subgroup and G itself.