Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups

D. V. Lytkina; V. D. Mazurov

doi:10.1007/s10469-018-9493-6

Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups

D. V. Lytkina, V. D. Mazurov

Кафедра алгебры и математической логики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

1 Цитирования (Scopus)

Аннотация

Let G be a periodic group containing an element of order 2 such that each of its finite subgroups of even order lies in a finite subgroup isomorphic to a simple symplectic group of degree 4. It is shown that G is isomorphic to a simple symplectic group S₄(Q) of degree 4 over some locally finite field Q.

Язык оригинала	английский
Страницы (с-по)	201-210
Число страниц	10
Журнал	Algebra and Logic
Том	57
Номер выпуска	3
DOI	https://doi.org/10.1007/s10469-018-9493-6
Состояние	Опубликовано - 1 июл 2018

Доступ к документу

10.1007/s10469-018-9493-6

Link to publication in Scopus

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Цитировать

Lytkina, D. V., & Mazurov, V. D. (2018). Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups. Algebra and Logic, 57(3), 201-210. https://doi.org/10.1007/s10469-018-9493-6

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