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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,… Click to show full 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).
Keywords:
finite field;
field;
additive subgroups;
chevalley groups;
subgroups chevalley;
locally finite
Journal Title: Mathematical Notes
Year Published: 2017
Link to full text (if available)
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Journal Title: Mathematical Notes
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!