The symmetric genus of alternating and symmetric groups (Q798756)
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scientific article; zbMATH DE number 3871613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The symmetric genus of alternating and symmetric groups |
scientific article; zbMATH DE number 3871613 |
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The symmetric genus of alternating and symmetric groups (English)
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1985
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The symmetric genus of a finite group G has been defined by Thomas W. Tucker as the smallest genus of all surfaces on which G acts faithfully as a group of automorphisms (some of which may reverse the orientation of the surface). This note announces the symmetric genus of all finite alternating and symmetric groups.
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genus of surfaces
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group of automorphisms
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symmetric genus
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symmetric groups
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