Lie principle

The Lie principle is a general principle which states that there is a close parallel between the study of a finite group of Lie type in characteristic $$p$$ and an arbitrary finite group with respect to a prime $$p$$. The principle was enunciated by Jonathan L. Alperin in his survey article A Lie approach to finite groups, where he stated it as follows:

If $$G$$ is an arbitrary finite group and $$p$$ is any prime divisor of its order, then there exist interesting and important analogs of all aspects of the structure of Lie type groups whose natural characteristic is $$p$$