Abstract.
Let G = AB be the mutually permutable product of the subgroups A and B. It is shown that if A and B are contained in a Fitting class \(\mathcal {F}\), then the commutator subgroup G′ of G is also contained in \(\mathcal {F}\) .
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Received: 14 August 2006 Revised: 17 September 2006
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Bochtler, J., Hauck, P. Mutually permutable subgroups and Fitting classes. Arch. Math. 88, 385–388 (2007). https://doi.org/10.1007/s00013-006-1119-x
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DOI: https://doi.org/10.1007/s00013-006-1119-x