Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines |
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Authors: | Antonio Cossidente |
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Institution: | Department of Mathematics , University of Basilicata , Potenza, Italy |
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Abstract: | We prove that, for q odd and n ≥ 3, the group G = O n (q 2) · 2 is maximal in either the orthogonal group O 2n (q) or the special orthogonal group SO 2n (q). The group G corresponds to the stabilizer of a spread of lines of PG(2n ? 1, q) in which some lines lie on a quadric, some are secant to the quadric, and others are external to the quadric. |
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Keywords: | Line-spread 1-system Finite orthogonal group Maximal subgroup |
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