On f-Prefrattini Subgroups
1972 ◽
Vol 15
(3)
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pp. 345-348
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Keyword(s):
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.
1975 ◽
Vol 27
(4)
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pp. 837-851
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1969 ◽
Vol 66
(2)
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pp. 215-230
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Keyword(s):
1973 ◽
Vol 25
(4)
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pp. 862-869
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Keyword(s):
1970 ◽
Vol 2
(3)
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pp. 347-357
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Keyword(s):
1972 ◽
Vol 7
(1)
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pp. 101-104
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1966 ◽
Vol 62
(3)
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pp. 339-346
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Keyword(s):
1970 ◽
Vol 67
(1)
◽
pp. 13-16
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1974 ◽
Vol 17
(4)
◽
pp. 385-388
Keyword(s):
1970 ◽
Vol 11
(4)
◽
pp. 395-400
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Keyword(s):