Characterization of simple symplectic groups of degree 4 over locally finite fields in the class of periodic groups. (English. Russian original) Zbl 1483.20085

Lytkina, D. V.; Mazurov, V. D.

Algebra Logic 57, No. 3, 201-210 (2018); translation from Algebra Logika 57, No. 3, 306-320 (2018).

Summary: 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 \(S_4(Q)\) of degree 4 over some locally finite field \(Q\).

MSC:

20G40	Linear algebraic groups over finite fields
20E32	Simple groups
20F50	Periodic groups; locally finite groups

Keywords:

periodic group; locally finite field; simple symplectic group

References:

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