Abstract
A group is said to be layer-finite if it has at most finitely many elements of any given order. In this paper, the structure of infinite groups all of whose proper subgroups are layer-finite is investigated.
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Sozutov, A.I., Shakhova, S.I. Structure of Quasi-Layer-Finite Groups. Mathematical Notes 72, 105–116 (2002). https://doi.org/10.1023/A:1019825323111
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DOI: https://doi.org/10.1023/A:1019825323111