Ol’shanskiĭ, A. Yu. Infinite groups with cyclic subgroups. (English. Russian original) Zbl 0431.20025 Sov. Math., Dokl. 20, 343-346 (1979); translation from Dokl. Akad. Nauk SSSR 245, 785-787 (1979). Reviewer: R. G. Burns Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 10 ReviewsCited in 10 Documents MSC: 20F05 Generators, relations, and presentations of groups 20F22 Other classes of groups defined by subgroup chains 20E15 Chains and lattices of subgroups, subnormal subgroups 20F06 Cancellation theory of groups; application of van Kampen diagrams 20E32 Simple groups 20E28 Maximal subgroups 20F50 Periodic groups; locally finite groups Keywords:2-generator infinite simple group; maximal subgroups; every proper subgroup of prime order; soluble conjugacy problem; Shmidt’s problem; Baer’s problem; Noetherian groups; Chernikov’s problem; Artinian groups; maximal and minimal conditions on subgroups Citations:Zbl 0194.03301; Zbl 0431.20026; Zbl 0431.20027 PDFBibTeX XMLCite \textit{A. Yu. Ol'shanskiĭ}, Sov. Math., Dokl. 20, 343--346 (1979; Zbl 0431.20025); translation from Dokl. Akad. Nauk SSSR 245, 785--787 (1979)