ON GROUPS ALL OF WHOSE PROPER SUBGROUPS ARE FINITE CYCLIC

DOI10.1070/IM1992v039n02ABEH002232zbMath0771.20015MaRDI QIDQ3982946

S. I. Adyan, Igor G. Lysenok

Publication date: 26 June 1992

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

zbMATH Keywords

cyclic subgroupsBurnside problemTarski probleminfinite 2-generator groupstransformations of periodic words

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Generators, relations, and presentations of groups (20F05) Chains and lattices of subgroups, subnormal subgroups (20E15)

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