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Class function

💡 Words with a Similar Meaning to "Class function"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
conjugacy classnoun(algebra) A subset of a group which is an equivalence class in the quotient set of the group divided by conjugation as equivalence relation.
character theorynoun(mathematics) The branch of abstract algebra dealing with group characters.
congruence subgroupIn mathematics, a congruence subgroup of a matrix group with integer entries is a subgroup defined by congruence conditions on the entries.
length function
mapping class groupnounThe group of self-homeomorphisms of a topological space, modulo homotopy.
permutation groupnoun(algebra, group theory) A group whose elements are permutations (self-bijections) of a given set and whose group operation is function composition.
covering groupIn mathematics, a covering group of a topological group H is a covering space G of H such that G is a topological group and the covering map is a continuous group homomorphism.
linear groupnoun(group theory) Any group that is isomorphic to a matrix group.
centralizer and normalizerIn mathematics, especially group theory, the centralizer (also called commutant) of a subset S in a group G is the set of elements of G that commute with every element of S, or equivalently, the set of elements such that conjugation by leaves each element of S fixed.
commutator subgroupnoun(algebra) The subgroup of a specified group generated by the larger group's commutators.
normal subgroupnoun(group theory) A subgroup H of a group G that is invariant under conjugation; that is, for all elements h of H and for all elements g in G, the element ghg⁻¹ is in H.
algebraic groupnoun(algebraic geometry) A group that is an algebraic variety.
automorphism groupnoun(group theory) The group of automorphisms of a given set or other mathematical object, with the group operation being function composition.
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.
affine groupnoun(mathematics) The group of all affine transformations of a finite-dimensional vector space.
parametric equationnoun(mathematics) A set of equations that defines the coordinates of the dependent variables (x, y and z) of a curve or surface in terms of one or more independent variables or parameters.
group isomorphismIn abstract algebra, a group isomorphism is a function between two groups that sets up a bijection between the elements of the groups in a way that respects the given group operations.
fundamental groupnoun(topology) For a specified topological space, the group whose elements are homotopy classes of loops (images of some arbitrary closed interval whose endpoints are both mapped to a designated point) and whose group operation is concatenation.
linear algebraic groupnoun(algebraic geometry, category theory) An algebraic group that is isomorphic to a subgroup of some general linear group.
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.

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