An A2-proof of Structure Theorems for Chevalley Groups of Types

  title={An A2-proof of Structure Theorems for Chevalley Groups of Types},
  • Published 2005
In the present paper we prove the main structure theorem for Chevalley groups G = G(Φ, R) of types Φ = E6, E7 over a commutative ring R. More precisely, we describe subgroups in G normalized by the elementary subgroup E(Φ, R). This result is not new, since structure theorems are known for all Chevalley groups [25, 27, 28, 30], [38]–[40], and [58, 61] (see [42, 65, 34, 56] for further references). The gist of the present paper resides not in the results themselves, but rather in the method of… CONTINUE READING

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