2022/100/3-4 (8)
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DOI: 10.5486/PMD.2022.9127
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pp. 399-404
On one conjecture about supersoluble groups
Abstract:
Yangming Li and Xianhua Li in 2012 proposed a conjecture that generalizes O.-U. Kramer's result about supersoluble groups. Here we proved that this conjecture is false in the general case and true for groups with the trivial Frattini subgroup.
Keywords: finite group, Fitting subgroup, generalized Fitting subgroup, supersoluble group, saturated formation
Mathematics Subject Classification: 20F16, 20F17, 20D25