archimedean group
1Archimedean group — In abstract algebra, a branch of mathematics, an Archimedean group is an algebraic structure consisting of a set together with a binary operation and binary relation satisfying certain axioms detailed below. We can also say that an Archimedean… …
2Archimedean property — In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some ordered or normed groups, fields, and other algebraic structures. Roughly speaking, it is… …
3Archimedean spiral — The Archimedean spiral (also known as the arithmetic spiral) is a spiral named after the 3rd century BC Greek mathematician Archimedes. It is the locus of points corresponding to the locations over time of a point moving away from a fixed point… …
4Archimedean solid — In geometry an Archimedean solid is a highly symmetric, semi regular convex polyhedron composed of two or more types of regular polygons meeting in identical vertices. They are distinct from the Platonic solids, which are composed of only one… …
5Cyclically ordered group — In mathematics, a cyclically ordered group is a set with both a group structure and a cyclic order, such that left and right multiplication both preserve the cyclic order. Cyclically ordered groups were first studied in depth by Ladislav Rieger… …
6Brauer group — In mathematics, the Brauer group arose out of an attempt to classify division algebras over a given field K . It is an abelian group with elements isomorphism classes of division algebras over K , such that the center is exactly K . The group is… …
7Linearly ordered group — In abstract algebra a linearly ordered or totally ordered group is an ordered group G such that the order relation le; is total. This means that the following statements hold for all a , b , c isin; G :* if a le; b and b le; a then a = b… …
8Mirabolic group — In mathematics, a mirabolic subgroup of the general linear group GLn(k), studied by Gelfand Kajdan (1975), is a subgroup consisting of automorphisms fixing a given non zero vector in kn. Its image in the projective general linear group is a… …
9List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …
10List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …
