On Formal Buchstaber Groups of Special Form


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Abstract

A complete description of Buchstaber formal groups

\(F(u,v)=\frac{u^{2}A(v)-v^{2}A(u)}{uB(v)-vB(u)},\)
in which the series A(x) and B(x) satisfy the relation A(x) = B(x)m, is given. A new family of Buchstaber formal groups depending on two algebraically independent parameters is obtained.

About the authors

A. V. Ustinov

Pacific National University; Khabarovsk Division of the Institute for Applied Mathematics, Far-Eastern Branch

Author for correspondence.
Email: ustinov.alexey@gmail.com
Russian Federation, Khabarovsk, 680035; Khabarovsk, 680000

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