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- W2335678873 abstract "The Prefrattini subgroups of a finite soluble group were introduced by Gaschutz [3]. These are a conjugacy class of subgroups which avoid complemented chief factors and cover Frattini chief factors. Gaschutz [3, Satz 7.1] showed that if G has p -length 1 for each prime p , and if U ≤G avoids all complemented chief factors and covers all Frattini factors, then U is a Prefrattini subgroup of G . We begin by proving the analogous result for the f -Prefrattini subgroups introduced by Hawkes [5], If f is a saturated formation, then the f -Prefrattini subgroups of G are a conjugacy class of subgroups which avoid f -eccentric complemented chief factors of G and cover all other chief factors of G ." @default.
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- W2335678873 date "1972-09-01" @default.
- W2335678873 modified "2023-09-26" @default.
- W2335678873 title "On f-Prefrattini Subgroups" @default.
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- W2335678873 doi "https://doi.org/10.4153/cmb-1972-062-5" @default.
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