Subgroups normalized by the elementary Levi subgroup. / Kazakevich, V. G.; Stavrova, A. K.
In: Journal of Mathematical Sciences, Vol. 134, No. 6, 01.05.2006, p. 2549-2557.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 36268882