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Logarithms of formal groups over Hopf algebras

A. V. Ershov
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Abstract

The aim of this paper is to prove the following result. For any commutative formal group ${\frak F}(x\otimes 1,1\otimes x),$ which is considered as a formal group over $H_\mathbb{Q},$ there exists a homomorphism to a formal group of the form ${\frak c}+x\otimes 1+1\otimes x,$ where $\frak c\in H_\mathbb{Q}{\mathop{\hat{\otimes}} \limits_{R_\mathbb{Q}}}H_\mathbb{Q}$ such that $(\id \otimes ε){\frak c}=0= (ε\otimes \id){\frak c}.$

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A. V. Ershov. 2001-04-17. Logarithms of formal groups over Hopf algebras. https://arxiv.org/abs/math/0104167

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