💡 Words with a Similar Meaning to "Group action"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| automorphism groupnoun | (group theory) The group of automorphisms of a given set or other mathematical object, with the group operation being function composition. |
| permutation groupnoun | (algebra, group theory) A group whose elements are permutations (self-bijections) of a given set and whose group operation is function composition. |
| conjugationnoun | (grammar) In some languages, one of several classifications of verbs according to what inflections they take. |
| groupnoun | A number of things or persons being in some relation to one another. |
| actionnoun | The effort of performing or doing something. |
| group theorynoun | (algebra, uncountable) The mathematical theory of groups. |
| symmetry groupnoun | (geometry, algebra, group theory) A group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition. |
| group objectnoun | (category theory) Given a category C, any object X ∈ C on which morphisms are defined corresponding to the group theoretic concepts of a binary operation (called multiplication), identity and inverse, such that multiplication is associative and properties are satisfied that correspond to the existence of inverse elements and the identity element. |
| alternating groupnoun | (group theory) a group of even permutations of a finite set |
| matrix groupnoun | (group theory) Any group of invertible matrices over a specified field, with the group operation of matrix multiplication. |
| coactionnoun | Collective or collaborative action. |
| groupoidnoun | (algebra and category theory) A set with a partial binary operation that is associative and has identities and inverses. |
| automorphismnoun | (algebra) An isomorphism of a mathematical object or system of objects onto itself. |
| linear groupnoun | (group theory) Any group that is isomorphic to a matrix group. |
| commutatornoun | An electrical switch, in a generator or motor, that periodically reverses the direction of an electric current. |
| representationnoun | That which represents something else. |
| group functornoun | (category theory, algebraic geometry) A group object that is an object in a category of functors; a functor with certain properties that generalise the concept of group. |
| symmetric groupnoun | (mathematics) A group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections. |
| orthomorphismnoun | (mathematics) A morphism that is also a permutation |
| mapping class groupnoun | The group of self-homeomorphisms of a topological space, modulo homotopy. |
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