Algebraic groups and automorphisms of finite simple Chevalley groups
نویسندگان
چکیده
منابع مشابه
On Automorphisms of Algebraic Groups
Automorphisms of Lie algebras over fields of characteristic 0 have been investigated by Borel-Mostow, Jacobson, and Patterson (see [l]> [4], [5]). This note describes some results in [ó] of related investigations of automorphisms of algebraic groups over fields of arbitrary characteristic. In the following discussions, G is a connected linear algebraic group over an algebraically closed field o...
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Suppose that Φ is a reduced irreducible root system, R is an associative commutative ring with unity, G(Φ, R) is the corresponding adjoint Chevalley group, and E(Φ, R) is its elementary subgroup (see Section 5). There are a lot of results (see, e.g., [Wat80], [Pet82], [GMi83], [HO’M89], [Abe93], [Che00], [Bun07], and references therein*) asserting that, under some conditions, all automorphisms ...
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Take G to be a split, simply-connected semisimple algebraic group (for example, SL(w, K) or Sp(2m, K)) over an algebraic closure K of the field of p elements, where p is prime. Denote by G(n) the finite subgroup consisting of elements of G defined over the field of p elements. The simple (rational) G-modules L(X) are parametrized by the set X of dominant weights, a subset of the character group...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1974
ISSN: 0022-314X
DOI: 10.1016/0022-314x(74)90017-1