The Fitting subgroup of a stable group (Q1895575)
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scientific article; zbMATH DE number 783879
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Fitting subgroup of a stable group |
scientific article; zbMATH DE number 783879 |
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The Fitting subgroup of a stable group (English)
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20 February 1996
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The author proves the following results: The Fitting subgroup of a stable group is definable. The generalised Fitting subgroup (i.e. the central product of the Fitting subgroup and the layer) of such a group is type- definable. The radical (i.e. the maximal soluble normal subgroup) of a superstable group exists and is definable; it is also the maximal locally soluble normal subgroup.
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definable subgroup
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Fitting subgroups
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stable group
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radical
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superstable group
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