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T 0-group and its place in the theory of groups

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Abstract

We characterize a class ofT 0-groups closely associated with the free Burnside groups of an odd period not less than 665. Examples based on the well-known Adyan and Ol'shanskii constructions are given. In addition, the place of a finite group in the class of all groups is indicated.

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Computation Center, Siberian Division of the Russian Academy of Sciences, Krasnoyarsk, Russia. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 4, pp. 572–576, April, 1999.

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Shunkov, V.P. T 0-group and its place in the theory of groups. Ukr Math J 51, 639–644 (1999). https://doi.org/10.1007/BF02591767

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