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1. Subgroups, of Chevalley groups over a locally finite field, defined by a family of additive subgroups.

Author

Koibaev, V., Kuklina, S., Likhacheva, A., and Nuzhin, Ya.

Subjects
*CHEVALLEY groups, *FINITE fields, *LOGICAL prediction, *MATHEMATICS, *INTEGERS
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). [ABSTRACT FROM AUTHOR]

Published
2017
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