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Zhu, X.; Lytkina, D. V.; Mazurov, V. D.

Characterization of locally finite simple groups of type \(G_2\) over fields of odd characteristics in the class of periodic groups. (English. Russian original) Zbl 1432.20026

Math. Notes 105, No. 4, 513-518 (2019); translation from Mat. Zametki 105, No. 4, 519-525 (2019).
Summary: We prove that a periodic group is locally finite, given that each of its finite subgroups lies in a subgroup isomorphic to a finite simple group \(G_2\) of Lie type over a field of odd characteristic.

MSC:

20F50 Periodic groups; locally finite groups
20E32 Simple groups

Keywords:

periodic group; locally finite group; group of Lie type; saturation
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\textit{X. Zhu} et al., Math. Notes 105, No. 4, 513--518 (2019; Zbl 1432.20026); translation from Mat. Zametki 105, No. 4, 519--525 (2019)
Full Text: DOI

References:

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