Reduction Theorems for Triples of Short Root Subgroups in Chevalley Groups
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DOI: 10.1007/s10958-017-3315-6
Abstract: Reduction theorems for triples of short root unipotent subgroups in Chevalley groups of type Bℓ and Cℓ are proved. The main result asserts that except for one case, any subgroup generated by such a triple… read more here.
Keywords: short root; triples short; reduction theorems; theorems triples ... See more keywords
Subgroups of Chevalley Groups Over Rings
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DOI: 10.1007/s10958-021-05203-x
Abstract: Let R be a commutative ring. The lattice of subgroups of a Chevalley group G(Φ,R) containing the subgroup D(R) is studied, where D is a subfunctor of G(Φ, — ). Assuming that over any field… read more here.
Keywords: group; groups rings; subgroups chevalley; chevalley groups ... See more keywords
Subgroups, of Chevalley groups over a locally finite field, defined by a family of additive subgroups
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DOI: 10.1134/s0001434617110190
Abstract: It is proved that every elementary carpet of nonzero additive subgroups which is associated with a Chevalley group of a Lie rank exceeding one over a locally finite field coincides, up to conjugation by a… read more here.
Keywords: finite field; field; additive subgroups; chevalley groups ... See more keywords