Lie principle: Difference between revisions

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This is a survey article related to:Lie theory in finite groups
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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 adn important analogs of all aspects of the structure of Lie type groups whose natural characteristic is $p$

References

A Lie approach to finite groups by Jonathan L. Alperin, in Groups -- Canberra 1989, Lecture Notes in Mathematics Volume 1456, Pages 1-9

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 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 <math>p</math> and an arbitrary finite group with respect to a prime <math>p</math>. 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 <math>G</math> is an arbitrary finite group and <math>p</math< is any prime divisor of its order, then there exist interesting adn important analogs of all aspects of the structure of Lie type groups whose natural characteristic is <math>p</math>''
+''If <math>G</math> is an arbitrary finite group and <math>p</math> is any prime divisor of its order, then there exist interesting adn important analogs of all aspects of the structure of Lie type groups whose natural characteristic is <math>p</math>''
 ==References==
 * ''A Lie approach to finite groups'' by Jonathan L. Alperin, in ''Groups -- Canberra 1989'', Lecture Notes in Mathematics Volume 1456, Pages 1-9