💡 Words with a Similar Meaning to "Linear group"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| matrix groupnoun | (group theory) Any group of invertible matrices over a specified field, with the group operation of matrix multiplication. |
| linear algebraic groupnoun | (algebraic geometry, category theory) An algebraic group that is isomorphic to a subgroup of some general linear group. |
| general linear groupnoun | (group theory) For given field F and order n, the group of invertible n×n matrices, with the group operation of matrix multiplication. |
| groupnoun | A number of things or persons being in some relation to one another. |
| group theorynoun | (algebra, uncountable) The mathematical theory of groups. |
| group actionnoun | (sociology) A situation in which a large number of agents take action simultaneously in order to achieve a common goal; their actions are usually coordinated. |
| special linear groupnoun | (group theory) For given field F and order n, the group of n×n matrices with determinant 1, with the group operations of matrix multiplication and matrix inversion. |
| group of lie typenoun | (group theory) Usually, a finite group that is closely related to the group of rational points of a reductive linear algebraic group with values in a finite field. |
| unitary groupnoun | (group theory) For given n, the group of n×n unitary matrices, with the group operation of matrix multiplication. |
| free groupnoun | (group theory) A group that has a presentation without relators; equivalently, a free product of some number of copies of ℤ. |
| hypergroupnoun | (mathematics) Any algebraic group equipped with a hyperoperation. |
| lie algebranoun | (mathematics) An algebra over a field whose bilinear product is alternating (or, equivalently for a bilinear product, anticommutative) and satisfies the Jacobi identity. Such a bilinear product is called a Lie bracket. |
| lie groupnoun | (topology) Any group that is a smooth manifold and whose group operations are differentiable. |
| subgroupnoun | A group within a larger group; a group whose members are some, but not all, of the members of a larger group. |
| triangle groupnoun | (mathematics) A group that can be realized geometrically by sequences of reflections across the sides of a triangle. |
| 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. |
| wordnoun | (semantics) The smallest unit of language that has a particular meaning and can be expressed by itself; the smallest discrete, meaningful unit of language. (contrast morpheme.) |
| euclidean groupnoun | (mathematics) the set of rigid motions that are also affine transformations. |
| 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. |
| galois groupnoun | (algebra, Galois theory) The automorphism group of a Galois extension. |
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