Article contents
Formation theory and groups of automorphisms of
-groups*
Published online by Cambridge University Press: 14 February 2012
Synopsis
Further 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.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 76 , Issue 4 , 1977 , pp. 255 - 265
- Copyright
- Copyright © Royal Society of Edinburgh 1977
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