G-Sets¶
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class
sage.categories.g_sets.
GSets
(G)¶ Bases:
sage.categories.category.Category
The category of \(G\)-sets, for a group \(G\).
EXAMPLES:
sage: S = SymmetricGroup(3) sage: GSets(S) Category of G-sets for Symmetric group of order 3! as a permutation group
TODO: should this derive from Category_over_base?
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classmethod
an_instance
()¶ Returns an instance of this class.
EXAMPLES:
sage: GSets.an_instance() # indirect doctest Category of G-sets for Symmetric group of order 8! as a permutation group
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super_categories
()¶ EXAMPLES:
sage: GSets(SymmetricGroup(8)).super_categories() [Category of sets]
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classmethod