In group theory, the quaternion group Q8 (sometimes just denoted by Q) is a non-abelian group of order eight, isomorphic to the eight-element subset {...

In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton...

In mathematics, a Hurwitz quaternion (or Hurwitz integer) is a quaternion whose components are either all integers or all half-integers (halves of odd...

MR 1878556 "Galois group", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Galois group and the Quaternion group "Galois Groups". MathPages.com. Comparing...

used to represent rotation, unit quaternions are also called rotation quaternions as they represent the 3D rotation group. When used to represent an orientation...

finite p-groups are solvable, as all finite p-groups are nilpotent. In particular, the quaternion group is a solvable group given by the group extension...

non-abelian groups of order 2n which have a cyclic subgroup of index 2. Two are well known, the generalized quaternion group and the dihedral group. One of...

the four-group is the basic group of permutations in the twelve-tone technique. In that instance, the Cayley table is written Quaternion group List of...

The Quaternion Eagle (German: Quaternionenadler; Italian: Aquila Quaternione), also known as the Imperial Quaternion Eagle (German: Quaternionen-Reichsadler)...

quaternion in Wiktionary, the free dictionary. The quaternions form a number system that extends the complex numbers. Quaternion rotation Quaternion group...