On the intersection of the \(\mathcal F\)-maximal subgroups and the generalized \(\mathcal F\)-hypercentre of a finite group.

DOI10.1016/j.jalgebra.2012.06.001zbMath1281.20021arXiv1205.2498OpenAlexW1601097291MaRDI QIDQ1939294

Alexander N. Skiba, Wen-Bin Guo

Publication date: 4 March 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2498

zbMATH Keywords

saturated formations\(\mathcal F\)-critical groups\(\mathcal F\)-maximal subgroups\(\pi\)-boundary conditions\(\pi\mathcal F\)-hypercenter

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25)

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