Intermediate Subgroups in Chevalley Groups
نویسنده
چکیده
Let G be a group and D be a subgroup of G. In this paper we are interested in the description of the lattice L(D; G) = fH j D H Gg of subgroups of G which contain D. We call subgroups H 2 L(D; G) subgroups intermediate between D and G. We are primarily interested in the parametrization of intermediate subgroups and their behaviour with respect to set-theoretic and group-theoretic operations like intersection, conjugation , passage to normalizer of H or to normal closure of D in H, etc.
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