Subgroups,of Chevalley groups over a locally finite field,defined by a family of additive subgroups |
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| Authors: | V A Koibaev S K Kuklina A O Likhacheva Ya N Nuzhin |
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| Institution: | 1.North Ossetian State University after Kosta Levanovich Khetagurov,Vladikavkaz,Russia;2.Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences,Vladikavkaz,Russia;3.Siberian Federal University,Krasnoyarsk,Russia |
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| 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 diagonal element, with a carpetwhose additive subgroups are equal to some chosen subfield of the ground field. A similar result is obtained for a full matrix carpet (a full net). |
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