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

Section of Algebra and Mathematical Logic

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	201-210
Number of pages	10
Journal	Algebra and Logic
Volume	57
Issue number	3
DOIs	https://doi.org/10.1007/s10469-018-9493-6
Publication status	Published - 1 Jul 2018

Keywords

locally finite field
periodic group
simple symplectic group

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10.1007/s10469-018-9493-6

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abstract = "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.",

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AU - Lytkina, D. V.

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N2 - 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.

AB - 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.

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KW - periodic group

KW - simple symplectic group

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ER -

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

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Keywords

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