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Zapiski Nauchnykh Seminarov POMI, 2024, Volume 531, Pages 41–52 (Mi znsl7441)  
The cancellation property of torsion-free abelian groups of finite rank

A. V. Blazhenov

St. Petersburg National Research University of Information Technologies, Mechanics and Optics
Full-text PDF (417 kB)
Abstract: A final solution to Fuchs's problem 70 on the cancellation property is given. First, Eichler's theorem is modified for the case of totally definite quaternion algebras. Then this result is applied to show that one of the conditions in the author's earlier criterion can be omitted.
Key words and phrases: Abelian groups, cancellation, Eichler's theorem.
Received: 25.01.2024
Document Type: Article
UDC: 512.541.3
Language: Russian
Citation: A. V. Blazhenov, “The cancellation property of torsion-free abelian groups of finite rank”, Problems in the theory of representations of algebras and groups. Part 40, Zap. Nauchn. Sem. POMI, 531, POMI, St. Petersburg, 2024, 41–52
Citation in format AMSBIB
\Bibitem{Bla24}
\by A.~V.~Blazhenov
\paper The cancellation property of torsion-free abelian groups of finite rank
\inbook Problems in the theory of representations of algebras and groups. Part~40
\serial Zap. Nauchn. Sem. POMI
\yr 2024
\vol 531
\pages 41--52
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7441}
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