Summary
We investigate the spread arising from a field extension and its chains. The major tool in this paper is the concept of transversal lines of a chain which is closely related to the Cartan—Brauer—Hua theorem. Provided that one chain has a “sufficiently large” number of such lines, both this chain and the given spread permit a simple geometric description by means of collineations.
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Havlicek, H. On the geometry of field extensions. Aeq. Math. 45, 232–238 (1993). https://doi.org/10.1007/BF01855881
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DOI: https://doi.org/10.1007/BF01855881