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Sylow 2-subgroups of the periodic groups saturated with finite simple groups

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Abstract

We prove that every 2-subgroup of a periodic group saturated with groups of Lie type over fields of odd characteristics whose Lie ranks are bounded as a whole is Chernikov. In particular, every such group is locally finite.

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Correspondence to B. Li.

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Original Russian Text Copyright © 2016 Li B. and Lytkina D.V.

The first author was supported by the National Natural Science Foundation of P. R. China (Grant 11471055).

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Li, B., Lytkina, D.V. Sylow 2-subgroups of the periodic groups saturated with finite simple groups. Sib Math J 57, 1029–1033 (2016). https://doi.org/10.1134/S0037446616060094

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  • DOI: https://doi.org/10.1134/S0037446616060094

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