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The Chevalley group is a way, uniform over all fields (and commutative rings), to define a split simple algebraic group of a given type.

7 votes
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2k views

What meanings does "Chevalley group" have?

It appears to me that there are at least two working definitions of the term "Chevalley group" operative in the literature. For example, one can consider Steinberg's notes on the subject. Starting fro …
1 vote
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270 views

(When) can the presentation in Steinberg's Yale notes fail to give an algebraic group?

I'm trying to understand a remark which appears on p. 1483 of Cohen, Murray and Taylor's "Computing in Groups of Lie Type." It says, "We have not used the presentations described in [7] or [30] becaus …