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Subgroups, of Chevalley groups over a locally finite field, defined by a family of additive subgroups : сборник научных трудов

Описание

Тип публикации: статья из журнала

Год издания: 2017

Идентификатор DOI: 10.1134/S0001434617110190

Ключевые слова: elementary carpet, Chevalley group, carpet subgroup

Аннотация: 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 Показать полностьюis obtained for a full matrix carpet (a full net).

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Издание

Журнал: MATHEMATICAL NOTES

Выпуск журнала: Vol. 102, Is. 5-6

Номера страниц: 792-798

ISSN журнала: 00014346

Место издания: NEW YORK

Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER

Персоны

  • Koibaev V.A. (North Ossetian State Univ Kosta Levanovich Khetag, Vladikavkaz, Russia; Russian Acad Sci, Southern Math Inst, Vladikavkaz Sci Ctr, Vladikavkaz, Russia)
  • Kuklina S.K. (Siberian Fed Univ, Krasnoyarsk, Russia)
  • Likhacheva A.O. (Siberian Fed Univ, Krasnoyarsk, Russia)
  • Nuzhin Ya. N. (Siberian Fed Univ, Krasnoyarsk, Russia)

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