p-group
a group in which the order of every element is a power of a prime 𝑝
powerful p-group
type of finite p-group
regular p-group
concept capturing some of the more important properties of abelian p-groups, but general enough to include most "small" p-groups
Tarski monster group
infinite group whose proper nontrivial subgroup are all cyclic groups, whose orders all equal a fixed prime number
primary cyclic group
type of group in mathematics
elementary abelian group
commutative group in which all nonzero elements have the same order