Now available in paperback--the standard introduction to the theory
of simple groups of Lie type. In 1955, Chevalley showed how to
construct analogues of the complex simple Lie groups over arbitrary
fields. The present work presents the basic results in the
structure theory of Chevalley groups and their twisted analogues.
Carter looks at groups of automorphisms of Lie algebras, makes good
use of Weyl group (also discussing Lie groups over finite fields),
and develops the theory of Chevalley and Steinberg groups in the
general context of groups with a (B, N)-pair. This new edition
contains a corrected proof of the simplicity of twisted groups, a
completed list of sporadic simple groups in the final chapter and a
few smaller amendments; otherwise, this work remains the classic
piece of exposition it was when it first appeared in 1971
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