Group homomorphism/Related Articles

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A list of Citizendium articles, and planned articles, about Group homomorphism.
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. [e]