On the question of existence of minimal non-FC-groups (Q1972196)
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scientific article; zbMATH DE number 1432318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the question of existence of minimal non-FC-groups |
scientific article; zbMATH DE number 1432318 |
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On the question of existence of minimal non-FC-groups (English)
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16 April 2000
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The main result of the article states that a perfect locally finite non-FC-group all whose subgroups are FC-groups has a nontrivial finitary permutation representation. This is a generalization of a result by \textit{F. Leinen} and \textit{O. Puglisi} [J. Lond. Math. Soc., II. Ser. 48, No. 1, 59-76 (1993; Zbl 0792.20051)] asserting that such a group has a nontrivial finitary linear representation.
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finitary permutation representations
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perfect locally finite groups
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minimal non-FC-groups
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