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Group theory has three main historical sources: number theory, the theory of algebraic equations, and geometry.The number-theoretic strand was begun by Leonhard Euler, and developed by Gauss's work on modular arithmetic and additive and multiplicative groups related to quadratic fields.
In mathematics, a topological group G is called a discrete group if there is no limit point in it (i.e., for each element in G, there is a neighborhood which only contains that element). Equivalently, the group G is discrete if and only if its identity is isolated .
In mathematics, a group is a set with an operation that ... the group axioms are commonly subsumed under elementary group theory. ... of a discrete group.
Discrete mathematics is the study of mathematical structures that can be considered "discrete" ... Graph theory has close links to group theory.
In mathematics, a group action of a group G on a set S is a group ... groups is well-studied in finite group theory. ... discontinuity G is a discrete group.
List of group theory topics; Finite groups. ... In mathematics, a Euclidean group is the group of ... a discrete point group, frieze group, or wallpaper group in a ...