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

被引：0
|
作者：
D. V. Lytkina
V. D. Mazurov
机构：
[1] Siberian State University of Telecommunications and Information Sciences,
[2] Novosibirsk State University,undefined
[3] Sobolev Institute of Mathematics,undefined
来源：
Algebra and Logic | 2018年 / 57卷
关键词：
periodic group; locally finite field; simple symplectic group;
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摘要：
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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页码：201 / 210
页数：9
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