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Structure of quasi-layer-finite groups. (English. Russian original) Zbl 1041.20025

Math. Notes 72, No. 1, 105-116 (2002); translation from Mat. Zametki 72, No. 1, 118-130 (2002).
Summary: 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.

MSC:

20F50 Periodic groups; locally finite groups
20E07 Subgroup theorems; subgroup growth
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