>
|
|
>
|
|
For -groups, regularity is equivalent to commutativity.
>
|
|
>
|
|
>
|
|
>
|
|
>
|
|
The Sylow -subgroup of is a dihedral group of order , so is non-abelian.
>
|
|
>
|
|
Every group of order , for odd primes , is regular because they all have nilpotency class at most two.
>
|
|
>
|
|
For , there are irregular groups of order .
>
|
|
However, for , the groups of order are all regular.
>
|
|
>
|
|
Direct products of regular -groups are regular.
>
|
|
| (10) |