  All groups have 2 generators. For every prime power q, the Generalized
Burnside Theorem (Theorem GB) produces an infinite number of solvable groups,
Some, such as groups of a prime power exponent, have only elements of finite
order and are therefore finite groups. Others have elements of infinite order
and are thus infinite groups.
  All these groups, even when infinite, are closely related to groups of
exponent q. They have at least one generator of order q, and their commutator
subgroup has exponent q.
