Formations of finite groups in polynomial time II: the $\mathfrak{F}$-hypercenter and its generalizations
Viachaslau Igaravich Murashka · Trudy Instituta Matematiki i Mekhaniki UrO RAN · 2025
UDK 512.542, 519.6 MSC: 20D10, 20B40 DOI: 10.21538/0134-4889-2025-31-1-154-165 The research was supported by the Russian Science Foundation and by the Belarusian Republican Foundation for Fundamental Research (project no. Φ23PHΦ-237) For a wide family of formations $\mathfrak{F}$ (which includes Baer-local formations) of finite groups it is proved that the $