Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups

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作者
D. V. Lytkina
V. D. Mazurov
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[1] Siberian State University of Telecommunications and Information Sciences Novosibirsk State University,Sobolev Institute of Mathematics
[2] Novosibirsk State University,undefined
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periodic group; period; symplectic group; locally finite group;
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摘要
Suppose that each finite subgroup of even order of a periodic group containing an element of order 2 lies in a subgroup isomorphic to a simple symplectic group of degree 4 over some finite field of characteristic 2. We prove that in that case the group is isomorphic to a simple symplectic group S4(Q) over some locally finite field Q of characteristic 2.
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页码:850 / 858
页数:8
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