💡 Words with a Similar Meaning to "Alternating group"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| permutation groupnoun | (algebra, group theory) A group whose elements are permutations (self-bijections) of a given set and whose group operation is function composition. |
| alternationnoun | The reciprocal succession of (normally two) things in time or place; the act of following and being followed by turns; alternate succession, performance, or occurrence |
| 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. |
| permutizernoun | (mathematics) A subgroup of all cyclic subgroups that permute with another |
| permutationnoun | One of the ways something exists, or the ways a set of objects can be ordered. |
| groupnoun | A number of things or persons being in some relation to one another. |
| automorphism groupnoun | (group theory) The group of automorphisms of a given set or other mathematical object, with the group operation being function composition. |
| 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. |
| cogroupnoun | (mathematics) The dual of a group. |
| exact sequencenoun | (algebra) A sequence of modules (or groups, vector spaces, etc.; most generally, objects of an abelian category) with adjacent objects connected by homomorphisms (generally, morphisms) such that the image of one homomorphism is the kernel of the next. |
| sporadic groupnoun | (group theory) Any one of the 26 exceptional finite simple groups, which do not belong to any of the general, infinite categories specified by the classification theorem for finite simple 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. |
| additive groupnoun | (mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically: |
| matrix groupnoun | (group theory) Any group of invertible matrices over a specified field, with the group operation of matrix multiplication. |
| pseudogroupnoun | (chemistry) Any group of the extended periodic table containing lanthanides or actinides |
| multipermutationnoun | (mathematics) A generalization of a permutation where every element can appear multiple times. |
| solvable groupnoun | (algebra, Galois theory) A group G which is part of a finite chain Gᵢ (0 ≤ i ≤ n) of subgroups, where G₀ is the trivial subgroup and Gₙ = G, such that each intermediate subgroup Gᵢ is a normal subgroup of the next in the chain (i.e., Gᵢ ◁ Gᵢ₊₁) and each quotient Gᵢ₊₁/Gᵢ is a cyclic group. |
| affine groupnoun | (mathematics) The group of all affine transformations of a finite-dimensional vector space. |
| alternantnoun | (linguistics) An alternative form or allomorph. |
| bitradenoun | (mathematics) Either of two elements of a permutation group that trade places with each other. |
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