Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.33048/semi.2020.17.085

Ключевые слова: a strongly embedded subgroup of a unitary type, borel subgroup, cartan subgroup, involution, finite element

Аннотация: A proper subgroup B of a group G is called strongly embedded, if 2 is an element of pi(B) and 2 is not an element of pi (B boolean AND B-g) for every element g is an element of G\B, and therefore N-G (X) is finite. In the paper, it is proved that a group with a finite element of order 4 and a strongly embedded subgroup isomorphic to the Borel subgroup of U-3 (Q) over a locally finite field Q of characteristic 2 is locally finite and isomorphic to the group U-3 (Q).

Журнал: SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA

Выпуск журнала: Vol. 17

Номера страниц: 1128-1136

ISSN журнала: 18133304

Место издания: NOVOSIBIRSK

Издатель: SOBOLEV INST MATHEMATICS

• Sozutov A.I (Siberian Fed Univ, 79 Svobodny Ave, Krasnoyarsk 660041, Russia)

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