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On infinite groups with a given strongly isolated 2-subgroup

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It is proved that some groups with a strongly isolated 2-subgroup of period not exceeding four are locally finite. In particular, the positive answer to Shunkov’s question 10.76 in the Kourovka notebook is obtained.

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Translated fromMatematicheskie Zametki, Vol. 68, No. 2, pp. 272–285, August, 2000.

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Sozutov, A.I., Suchkov, N.M. On infinite groups with a given strongly isolated 2-subgroup. Math Notes 68, 237–247 (2000). https://doi.org/10.1007/BF02675349

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