Explore: Quartic Fields

simple group after the alternating group A5. The quartic was first described in (Klein 1878b). Klein's quartic occurs in many branches of mathematics, in contexts

degree four, called a quartic polynomial. A quartic equation, or equation of the fourth degree, is an equation that equates a quartic polynomial to zero

In quantum field theory, a quartic interaction or φ4 theory is a type of self-interaction in a scalar field. Other types of quartic interactions may be

algebraic geometry, a quartic plane curve is a plane algebraic curve of the fourth degree. It can be defined by a bivariate quartic equation: A x 4 + B

two-dimensional scalar field theories with arbitrary polynomial interactions, the three-dimensional scalar field theories with a quartic interaction, etc.

Ryotaro (1994), "Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one", Acta Arithmetica, 67

multiplication tables. The Klein quartic is the projective variety over the complex numbers C defined by the quartic polynomial x3y + y3z + z3x = 0. It

the two layers of unramified quadratic and biquadratic extensions of quartic fields with class groups of 2 {\displaystyle 2} -rank three. Both, the algebraic

The Quart Festival was an annual popular music festival that took place in Kristiansand, Norway in the beginning of July, from 1991 to 2008. It was the

rank 1 exactly when the number field is a real quadratic field, a complex cubic field, or a totally imaginary quartic field. When the unit group has rank