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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2007 Volume 48, Number 6, Pages 1377–1388 (Mi smj1814)
An autostable 2 nilpotent group with no Scott family of finitary formulas

D. A. Tusupov

Al-Farabi Kazakh National University, Faculty of Mechanics and Mathematics

Abstract: We construct an autostable 2 nilpotent group with no Scott family of finitary formulas but having a unique constructivization up to autoequivalence.

Keywords: computability theory, computable structure, nilpotent group, graph, Scott family.

UDC: 510.6+510.67+512.8

Received: 22.12.2006


 English version: Siberian Mathematical Journal, 2007, 48:6, 1106–1114

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© Steklov Math. Inst. of RAS, 2024