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On infinite groups with a given strongly isolated 2-subgroup |
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| Authors: | A I Sozutov N M Suchkov |
| Institution: | (1) Krasnoyarsk State Academy of Architecture and Building, USSR;(2) Krasnoyarsk State University, USSR |
| Abstract: | 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. Translated fromMatematicheskie Zametki, Vol. 68, No. 2, pp. 272–285, August, 2000. |
| Keywords: | periodic group Sylow subgroup 2-subgroup strongly embedded subgroup Frobenius group locally cyclic completion locally finite group normalizer elementary Abelian group Suzuki group |
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