Hartley, B. On locally finite groups with Chernikov maximal subgroup. (English. Russian original) Zbl 0941.20042 Algebra Logika 37, No. 1, 101-106 (1998); translation in Algebra Logic 37, No. 1, 56-58 (1998). The following theorem is proven: Let \(G\) be a locally finite group with Chernikov maximal subgroup \(H\) and let \(H\) contain no nontrivial normal subgroups of \(G\); then either \(G\) is finite or there exists an infinite normal elementary Abelian subgroup \(V\) of \(G\) such that \(G=VH\) and \(V\cap H=1\). Reviewer: M.F.Murzina (Novosibirsk) MSC: 20F50 Periodic groups; locally finite groups 20E28 Maximal subgroups 20E22 Extensions, wreath products, and other compositions of groups 20E07 Subgroup theorems; subgroup growth Keywords:locally finite groups; Chernikov maximal subgroups PDFBibTeX XMLCite \textit{B. Hartley}, Algebra Logika 37, No. 1, 101--106 (1998; Zbl 0941.20042); translation in Algebra Logic 37, No. 1, 56--58 (1998)