Formation theory and groups of automorphisms of -groups
1977 ◽
Vol 76
(4)
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pp. 255-265
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Keyword(s):
SynopsisFurther results from the theory of finite soluble groups are extended to the class of locally finite groups with a satisfactory Sylow structure. Let be a saturated U-formation and A a -group of automorphisms of the -group G. A is said to act -centrally on G if G has an A-composition series (Λσ/Vσ; σ ∈ ∑) such that A induces an f(p)-group of automorphisms in each p-factor Λσ/Vσ. We show that in this situation A is an -group, thus generalising the result of Schmid [8]. Associated results of Schmid and of Baer are also extended to the infinite case.
1995 ◽
Vol 38
(3)
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pp. 511-522
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Keyword(s):
1975 ◽
Vol 78
(2)
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pp. 215-226
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Keyword(s):
Keyword(s):
Keyword(s):
1975 ◽
Vol s3-30
(3)
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pp. 257-286
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1973 ◽