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Schunck classes and projectors in a class of locally finite groups
Published online by Cambridge University Press: 20 January 2009
Abstract
We introduce a definition of a Schunck class of periodic abelian-by-finite soluble groups using major subgroups in place of the maximal subgroups used in Finite groups. This allows us to develop the theory as in the finite case proving the existence and conjugacy of projectors. Saturated formations are examples of Schunck classes and we are also able to obtain an infinite version of Gaschütz Ω-subgroups.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 3 , October 1995 , pp. 511 - 522
- Copyright
- Copyright © Edinburgh Mathematical Society 1995
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