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 B and C 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.

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V. Nesterov

Baltic state technical university “VOENMEH”

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Email: vl.nesterov@mail.ru
俄罗斯联邦, St. Petersburg

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