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Groups with minimal conditions

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Abstract

The author establishes a number of new propositions asserting that groups with various minimal conditions are Chernikov under some additional extremely weak finiteness conditions. These propositions include a great many known theorems on groups with minimal conditions.

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Authors and Affiliations

  1. National Academy of Sciences of Ukraine, Kiev, Ukraine

    N. S. Chernikov

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  1. N. S. Chernikov
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Correspondence to N. S. Chernikov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 5, pp. 219–235, 2008.

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Chernikov, N.S. Groups with minimal conditions. J Math Sci 163, 774–784 (2009). https://doi.org/10.1007/s10958-009-9715-5

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