Finite groups with given properties of normalizers of Sylow subgroups.

Authors

A. Vasilyev Department of Algebra and Geometry, F. Scorina Gomel State University, Gomel, Belarus
T. Vasilyeva Department of Algebra and Geometry, F. Scorina Gomel State University, Department of Hight Mathematics, Belarusian State University of Transport, Gomel, Belarus
A. Melchanka Department of Algebra and Geometry, F. Scorina Gomel State University, Gomel, Belarus

Finite group, normalizer of Sylow subgroup, hereditary saturated formation, F-subnormal subgroup

We consider only finite groups. We use notations and definitions from [1].

A. Ballester-Bolinches and L. M. Ezquerro, Classes of Finite Groups, Springer, Dordrecht, 2006.

V. N. Semenchuk, Minimal non F-subgroups Algebra and Logik, 18 (1979), no. 3, 348–382.

A. F. Vasil’ev, Finite groups with strongly K-F-subnormal Sylow subgroups, PFMT. 4(37) (2018), 66–71 (In Russian).