We study the structure of a family of finite groups of the form L g = 〈a, a g〉 in a periodic Shunkov group. As a consequence of the obtained result, we get two characterizations of periodic Shunkov groups.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 8, pp. 1110–1118, August, 2008.
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Senashov, V.I. Characterizations of the Shunkov groups. Ukr Math J 60, 1299–1306 (2008). https://doi.org/10.1007/s11253-009-0127-y
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DOI: https://doi.org/10.1007/s11253-009-0127-y