Abstract
A group is c-supersoluble if all its chief factors are isomorphic to simple groups. We introduce the notion of widely c-supersoluble group, which generalizes c-supersolubility. We obtain the properties and find applications of products of mutually permutable subgroups. In particular, we establish the wide c-supersolubility of a finite group that is a product of two mutually permutable c-supersoluble subgroups of coprime indices.
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Gomel. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 3, pp. 603–616, May–June, 2016; DOI: 10.17377/smzh.2016.57.308.
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Vasil’ev, A.F., Vasil’eva, T.I. & Myslovets, E.N. Finite widely c-supersoluble groups and their mutually permutable products. Sib Math J 57, 476–485 (2016). https://doi.org/10.1134/S0037446616030083
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DOI: https://doi.org/10.1134/S0037446616030083