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Products of mutually permutable subgroups. (Italian. English summary) Zbl 1162.20309
Summary: We study groups \(G=HK\) admitting a factorization by two mutually sn-permutable subgroups \(H\) and \(K\). Some results of J. C. Beidleman, A. Galoppo, H. Heineken and M. Manfredino [Forum Math. 13, No. 4, 569-580 (2001; Zbl 0984.20016)] are improved.
20E15 Chains and lattices of subgroups, subnormal subgroups
20F16 Solvable groups, supersolvable groups
20D40 Products of subgroups of abstract finite groups
20E22 Extensions, wreath products, and other compositions of groups
20F14 Derived series, central series, and generalizations for groups
Full Text: EuDML
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