Hall operators on the set of formations of finite groups

Andrei P. Mekhovich, Nikolay N. Vorob’ev, Nikolay T. Vorob’ev

Abstract


Let \(\pi\) be a nonempty set of primes and let  \(\frak{F}\)  be a saturated formation of all finite soluble \(\pi\)-groups. It is constructed the saturated formation consisting of all finite \(\pi\)-soluble groups whose \(\frak{F}\)-projectors contain a Hall \(\pi\)-subgroup.


Keywords


Hall \(\pi\)-subgroup, \(\pi\)-soluble group, formation of finite groups, saturated formation, canonical satellite, \(\frak{F}\)-projector

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