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Shunkov groups saturated with general linear groups. (English. Russian original) Zbl 1347.20038

Sib. Math. J. 57, No. 1, 174-184 (2016); translation from Sib. Mat. Zh. 57, No. 1, 222-235 (2016).
Summary: We prove that if a periodic Shunkov group is saturated with degree 2 general linear groups over finite fields then it is isomorphic to the degree 2 general linear group over a suitable locally finite field.

MSC:

20F50 Periodic groups; locally finite groups
20G15 Linear algebraic groups over arbitrary fields
20E25 Local properties of groups
20E07 Subgroup theorems; subgroup growth
20G40 Linear algebraic groups over finite fields
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