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Locally finite groups with finitely many isomorphism classes of derived subgroups. (English) Zbl 1294.20049
Authors’ summary: Groups which have at most \(n\) isomorphism classes of derived subgroups (\(D_n\)-groups) are studied. A complete classification of locally finite \(D_3\)-groups into nine types is obtained.

20F50 Periodic groups; locally finite groups
20F14 Derived series, central series, and generalizations for groups
20E34 General structure theorems for groups
20E25 Local properties of groups
Full Text: DOI
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