Search Results for ""

There are two definitions of a metacyclic group. 1. A metacyclic group is a group G such that both its commutator subgroup G^' and the quotient group G/G^' are cyclic (Rose ...

The Jack polynomials are a family of multivariate orthogonal polynomials dependent on a positive parameter alpha. Orthogonality of the Jack polynomials is proved in Macdonald ...

The rules for the multiplication of quaternions.

There are two completely different definitions of Cayley numbers. The first and most commonly encountered type of Cayley number is the eight elements in a Cayley algebra, ...

A more common way to describe a Euclidean ring.

The Cartesian product of a finite or infinite set of modules over a ring with only finitely many nonzero entries in each sequence.

A linear combination of basis quaternions with integer coefficients.

The conjecture that the maximum local density is given by rho_(dodecahedron).

A graph for which every node has finite degree.

An algebra which does not satisfy a(bc)=(ab)c is called a nonassociative algebra.