Lie principle
From Groupprops
This survey article is about a correspondence-principle between: Lie group and finite group
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 and an arbitrary finite group with respect to a prime . 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 is an arbitrary finite group and 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
References
- A Lie approach to finite groups by Jonathan L. Alperin, Groups -- Canberra 1989, Lecture Notes in Mathematics Volume 1456, Pages 1-9; presented in Canberra 1989