Abstract
We develop methods for recognizing the Fitting classes and radicals of finite groups by Fitting functors and the prescribed properties of Hall π-subgroups.
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Original Russian Text Copyright © 2011 Vit’ko E. A. and Vorob’ev N. T.
The authors were supported by a joint grant of the Belarussian Republic Foundation of Fundamental Researches and the Russian Foundation for Basic Research (Grant F10R-231).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 6, pp. 1253–1263, November–December, 2011.
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Vit’ko, E.A., Vorob’ev, N.T. Fitting functors and radicals of finite groups. Sib Math J 52, 995–1002 (2011). https://doi.org/10.1134/S0037446611060048
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DOI: https://doi.org/10.1134/S0037446611060048