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On
1-dimensional formal group laws in
characteristic zero |
On 1-dimensional formal group laws in
characteristic zero
Jointly written with JENS
SCHWAIGER Aequationes
Mathematicae pages 1-6, 2014.
Abstract: Let 𝕂 be a field
of characteristic zero or, more general, a Q-algebra. A
formal power series F(x,y)=x+y+∑i,j≥ 1
ai,jxiyj∈ 𝕂[[x,y]] is called a 1-dimensional formal group
law if F(F(x,y),z)=F(x,F(y,z)). Using some elementary methods, we
prove that for every 1-dimensional formal group law F(x,y) there
exists a formal power series f(x)=x+∑n≥ 2fnx
n∈ 𝕂[[x]] so that
F(x,y)=f-1(f(x)+f(y)).
harald.fripertinger "at" uni-graz.at, April 22,
2024
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GDPR |
On
1-dimensional formal group laws in
characteristic zero |
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