Abstract
Let τ be an eight-dimensional, connected, locally compact ternary field and let Γ denote a connected closed subgroup of its automorphism group which is taken with the compact-open topology. It is proved that Γ is either isomorphic to the compact exceptional Lie group G2, or the (covering) dimension of Γ is at most 11. This bound can be decreased to 10, if the ternary fixed fieldF Γ of Γ is connected.
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Bödi, R. On the dimensions of automorphism groups of 8-dimensional ternary fields I. J Geom 52, 30–40 (1995). https://doi.org/10.1007/BF01406824
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DOI: https://doi.org/10.1007/BF01406824