Identity with Constants in a Chevalley Group of Type F4 v. Nesterov and A. Stepanov
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چکیده
N. L. Gordeev proved that a generalized group identity holds in Chevalley groups with multiply laced root systems. It was also shown that a stronger identity is valid for the Chevalley groups of types Bl and Cl. In the present paper, it is proved that this strong identity is fulfilled in Chevalley groups of type F4 and fails to be true in Chevalley groups of type G2. The main result of the paper is the last ingredient in the proof of the claim that the lattice of intermediate subgroups between G(F4, R) and G(F4, A) is standard for an arbitrary pair of rings R ⊆ A with 2 invertible.
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