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Reduction Theorems for Triples of Short Root Subgroups in Chevalley Groups

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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… Click to show full 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 is conjugate to a subgroup of G(B4, K)U(B5, K) or G(C4, K)U(C5, K), respectively.

Keywords: short root; triples short; reduction theorems; theorems triples; chevalley groups; subgroups chevalley

Journal Title: Journal of Mathematical Sciences
Year Published: 2017

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