FGL(FormalSeries) -- constructing a formal group law

Synopsis

Function: FGL
Usage:

FGL(s)
Inputs:
- s, an instance of the type FormalSeries, in two variables
Outputs:
- an instance of the type FormalGroupLaw,

Description

This constructs an object of the class FormalGroupLaw out of a FormalSeries living in a PolynomialRing with two generators. The axioms of the neutral element, commutativity and associativity are checked up to the precision of s.

i1 : R=ZZ[x,y]

o1 = R

o1 : PolynomialRing

i2 : s = series(x+y+x*y,2)

o2 = FormalSeries{x*y + x + y, 2}

o2 : FormalSeries

i3 : f= FGL(s)

o3 = FormalGroupLaw{x*y + x + y, 2}

o3 : FormalGroupLaw

Ways to use this method: