# Group homomorphism/Related Articles

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*See also changes related to Group homomorphism, or pages that link to Group homomorphism or to this page or whose text contains "Group homomorphism".*

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- Algebraic number field [r]: A field extension of the rational numbers of finite degree; a principal object of study in algebraic number theory.
^{[e]} - Centre of a group [r]: The subgroup of a group consisting of all elements which commute with every element of the group.
^{[e]} - Character (group theory) [r]: A homomorphism from a group to the unit circle; more generally, the trace of a group representation.
^{[e]} - Characteristic subgroup [r]: A subgroup which is mapped to itself by any automorphism of the whole group.
^{[e]} - Dirichlet character [r]: A group homomorphism on the multiplicative group in modular arithmetic extended to a multiplicative function on the positive integers.
^{[e]} - Discrete logarithm [r]: The problem of finding logarithms in a finite field.
^{[e]} - Euler's theorem (rotation) [r]: In three-dimensional space, any rotation of a rigid body is around an axis, the rotation axis.
^{[e]} - Exact sequence [r]: A sequence of algebraic objects and morphisms which is used to describe or analyse algebraic structure.
^{[e]} - Group (mathematics) [r]: Set with a binary associative operation such that the operation admits an identity element and each element of the set has an inverse element for the operation.
^{[e]} - Group action [r]: A way of describing symmetries of objects using groups.
^{[e]} - Group theory [r]: Branch of mathematics concerned with groups and the description of their properties.
^{[e]} - Isogeny [r]: Morphism of varieties between two abelian varieties (e.g. elliptic curves) that is surjective and has a finite kernel.
^{[e]} - Normal subgroup [r]: Subgroup N of a group G where every expression g-1ng is in N for every g in G and every n in N.
^{[e]} - Spherical harmonics [r]: A series of harmonic basis functions that can be used to describe the boundary of objects with spherical topology.
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