Results 281 to 290 of about 2,063,343 (301)
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Subgroups normalized by the elementary Levi subgroup

Journal of Mathematical Sciences, 2006
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.
V. G. Kazakevich, A. K. Stavrova
openaire   +1 more source

Locally isotropic elementary groups

, 2023
We construct elementary subgroups of all reductive groups of the local isotropic rank $\geq 2$ over rings and prove their basic properties. In particular, our results may be applied to the automorphism groups of any finitely generated projective modules ...
Egor Voronetsky
semanticscholar   +1 more source

Varieties and Elementary Abelian Subgroups

2003
The aim of this chapter is to develop and prove a generalized version of Quillen’s Dimension Theorem [122, 125]. Our main theorem says that every kG-module is a direct summand of a module that has a filtration in which the factors are induced from elementary abelian subgroups. Quillen’s theorem is one of the several consequences that we explore.
Jon F. Carlson   +3 more
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Elementary TI-subgroups of finite groups

Mathematical Notes of the Academy of Sciences of the USSR, 1981
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Normality of the Elementary Subgroup in Sp(2, A)

Journal of Mathematical Sciences, 2017
Let A be an associative ring with identity and involution, and let e1, . . . , en be a full system of Hermitian idempotents in A such that every ei generates A as a two-sided ideal. It is proved that the elementary subgroup is normal in Sp(2, A) if n ≥ 3 and A satisfies an analog of the local stable rank condition. Bibliography: 16 titles.
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Finite and disconnected subgroups and elementary particle symmetries

Acta Physica Academiae Scientiarum Hungaricae, 1965
The subgroups of the SU3 group are investigated in connection with elementary particle physics. It is found that the finite and disconnected subgroups of SU3 cannot account for the elementary particle spectrum.
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