# Lie rings of prime-cube order

From Groupprops

## The list

Let be a prime number. Up to isomorphism, here are the Lie rings of order (*the table is not yet complete*):

*There are some more to be filled in*

For the explanation of why these are precisely the Lie rings of prime-cube order, see classification of Lie rings of prime-cube order. If you are interested in only the nilpotent ones, see classification of nilpotent Lie rings of prime-cube order.

## Baer correspondence for odd primes

If is an odd prime, then there is a correspondence between the*nilpotent*Lie rings among the above and the groups of prime-cube order, given below:

**PLACEHOLDER FOR INFORMATION TO BE FILLED IN**: [SHOW MORE]