Schunck classes and projectors of periodic soluble nilpotent-by-finite groups (Q1368038)
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scientific article; zbMATH DE number 1066131
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Schunck classes and projectors of periodic soluble nilpotent-by-finite groups |
scientific article; zbMATH DE number 1066131 |
Statements
Schunck classes and projectors of periodic soluble nilpotent-by-finite groups (English)
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9 March 1998
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The reviewer [Proc. Edinb. Math. Soc., II. Ser. 38, No. 3, 511-522 (1995; Zbl 0841.20042)] gave a definition of a Schunck class of periodic soluble abelian-by-finite groups and proved the existence and conjugacy of the associated projectors. Here the author obtains similar results in the larger class of periodic soluble nilpotent-by-finite groups. Although the definition of Schunck class is similar to that given by the reviewer and the main results necessarily have similar statements, the proofs given here are a significant improvement, making greater use of the Sylow theory in this class of groups.
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Schunck classes
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periodic soluble Abelian-by-finite groups
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existence
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conjugacy
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projectors
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periodic soluble nilpotent-by-finite groups
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Sylow theory
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