TY - JOUR

T1 - Subgroups normalized by the elementary Levi subgroup

AU - Kazakevich, V. G.

AU - Stavrova, A. K.

PY - 2006/5/1

Y1 - 2006/5/1

N2 - Subgroups of the unipotent radical of a maximal parabolic subgroup of a Chevalley group over a field K, which are normalized by the commutator subgroup of the Levi subgroup, are described. It is shown that in the typical case, such subgroups are in one-to-one correspondence with the closed subsets of {1, 2, ..., n} for a natural n. In the exceptional cases the classification also involves additive subgroups of K. See the table in the paper for a detailed list of possibilities. Bibliography: 7 titles.

AB - Subgroups of the unipotent radical of a maximal parabolic subgroup of a Chevalley group over a field K, which are normalized by the commutator subgroup of the Levi subgroup, are described. It is shown that in the typical case, such subgroups are in one-to-one correspondence with the closed subsets of {1, 2, ..., n} for a natural n. In the exceptional cases the classification also involves additive subgroups of K. See the table in the paper for a detailed list of possibilities. Bibliography: 7 titles.

UR - http://www.scopus.com/inward/record.url?scp=33645013965&partnerID=8YFLogxK

U2 - 10.1007/s10958-006-0126-6

DO - 10.1007/s10958-006-0126-6

M3 - Article

AN - SCOPUS:33645013965

VL - 134

SP - 2549

EP - 2557

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -