Abstract
For an arbitrary set π of prime numbers we study the properties and structure of groups satisfying the π-minimal and π-layer minimal conditions. In particular, we describe the structure of the almost RN-groups (and thereby that of the locally solvable groups) with these conditions. Under the assumption 2∈π, we describe the structure of locally graded groups (and thereby that of locally finite groups) with these conditions.
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Chernikov, N.S. Groups with π-Minimal and π-Layer Minimal Conditions. II. Siberian Mathematical Journal 43, 156–168 (2002). https://doi.org/10.1023/A:1014011209613
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DOI: https://doi.org/10.1023/A:1014011209613