Abstract
This paper continues the study of the class of Mp-groups introduced by V. P. Shunkov. We obtain a criterion of nonsimplicity of an infinite group which contains anMp-group and contains no group of quaternions. We also obtain a criterion for an infinite group to be an Mp-group.
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Original Russian Text © S.N. Kozulin, V.I. Senashov, and V.P. Shunkov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 2, pp. 17–29.
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Kozulin, S.N., Senashov, V.I. & Shunkov, V.P. M p -groups not containing groups of quaternions. Russ Math. 58, 13–23 (2014). https://doi.org/10.3103/S1066369X14020030
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DOI: https://doi.org/10.3103/S1066369X14020030