Maximal subgroups of finite orthogonal groups stabilizing spreads of lines
نویسندگان
چکیده
We prove that, for q odd and n ≥ 3, the group G = On(q) · 2 is maximal in either the orthogonal group O2n(q) or the special orthogonal group SO2n(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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تاریخ انتشار 2006