Sozutov, A. I.; Shakhova, S. I. 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. Cited in 1 Document MSC: 20F50 Periodic groups; locally finite groups 20E07 Subgroup theorems; subgroup growth Keywords:layer-finite groups; kernels of Frobenius groups; simple groups; involutions; fans PDF BibTeX XML Cite \textit{A. I. Sozutov} and \textit{S. I. Shakhova}, Math. Notes 72, No. 1, 105--116 (2002; Zbl 1041.20025); translation from Mat. Zametki 72, No. 1, 118--130 (2002) Full Text: DOI OpenURL