Abstract

This work focuses on the maximum length of subgroup chain in an odd characteristic Lie type group G. If G does not have parabolic length, there exists a non-parabolic maximal subgroup M 1, the length of which exceeds that every maximal parabolic subgroup P of G. The possible structure of such maximal subgroups is considered. In particular, it is shown that either M 1 has known structure (listed in the main result), or there exists a maximal subgroup M of known structure having length equal to or greater than that of M 1.

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