GROUPS OF HYPERBOLIC LENGTH IN ODD CHARACTERISTIC GROUPS OF LIE TYPE

[摘要] 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 M1, 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 M1 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 M1. (C) 1994 Academic Press, Inc.

[发布日期] 1994-02-15