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On the Directions of \(\boldsymbol{\omega}\)-Fibered and \(\boldsymbol{\Omega}\)-Foliated Formations and Fitting Classes of Finite Groups

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Abstract

In the article we study \(\omega\)-fibered and \(\Omega\)-foliated formations and Fitting classes of finite groups which are constructed using two functions named a function-satellite and a function-direction. We have established some properties of functions-directions which give new examples of \(\omega\)-fibered and \(\Omega\)-foliated formations and Fitting classes of finite groups.

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Correspondence to M. M. Sorokina or S. P. Maksakov.

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Sorokina, M.M., Maksakov, S.P. On the Directions of \(\boldsymbol{\omega}\)-Fibered and \(\boldsymbol{\Omega}\)-Foliated Formations and Fitting Classes of Finite Groups. Lobachevskii J Math 41, 273–279 (2020). https://doi.org/10.1134/S199508022002016X

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