In mathematics, a group is a set with an operation that associates an element of the set to every pair of elements of the set (as does every binary operation)...

structure Lie group G {\displaystyle G} , a gauge group is defined to be a group of its vertical automorphisms. This group is isomorphic to the group G ( X )...

Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences...

The School Mathematics Study Group (SMSG) was an American academic think tank focused on the subject of reform in mathematics education. Directed by Edward...

In mathematics, genus (pl.: genera) has a few different, but closely related, meanings. Intuitively, the genus is the number of "holes" of a surface....

and clinging Group (mathematics), a set together with a binary operation satisfying certain algebraic conditions Functional group, a group of atoms which...

Mathematical Applications Group, Inc. (a.k.a. MAGi or MAGi/SynthaVision) was an early computer technology company founded in 1966 by Dr. Philip Mittelman...

In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements...

In mathematics, in the field of group theory, a T-group is a group in which the property of normality is transitive, that is, every subnormal subgroup...

Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may originate in real-world...

Special group may refer to: Special Group (India), a secretive special forces unit of Indian intelligence. Special Groups (Iraq), insurgent groups operating...

Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection...

McLaughlin group may refer to: McLaughlin group (mathematics), a sporadic finite simple group The McLaughlin Group, a weekly public affairs program broadcast...

Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business,...

Some elementary examples of groups in mathematics are given on Group (mathematics). Further examples are listed here. Consider three colored blocks (red...

In the mathematical fields of category theory and abstract algebra, a subquotient is a quotient object of a subobject. Subquotients are particularly important...

In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations...

Lists of mathematics topics cover a variety of topics related to mathematics. Some of these lists link to hundreds of articles; some link only to a few...

Monographs in Mathematics, Berlin, New York: Springer-Verlag, ISBN 978-3-540-62778-4, MR 1707296 Suzuki, Michio (1969), "A simple group of order 448,345...

this pleasure by describing mathematics (or, at least, some aspect of mathematics) as beautiful or describe mathematics as an art form, (a position taken...

numbers List of relativistic equations List of small groups Mathematical constants Sporadic group Table of Clebsch-Gordan coefficients Table of derivatives...

subject. The Mathematical Association of America (MAA) includes recreational mathematics as one of its seventeen Special Interest Groups, commenting:...

The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern...

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra:...

In mathematics, a right group is an algebraic structure consisting of a set together with a binary operation that combines two elements into a third element...

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative...

The mathematical sciences are a group of areas of study that includes, in addition to mathematics, those academic disciplines that are primarily mathematical...

"The Unreasonable Effectiveness of Mathematics in the Natural Sciences" is a 1960 article written by the physicist Eugene Wigner, published in Communication...

In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same...

A wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of a two-dimensional repetitive pattern,...