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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2007 Volume 48, Number 1, Pages 5–10 (Mi smj1)
Algebraic sets and coordinate groups for a free nilpotent group of nilpotency class 2

M. G. Amaglobeli

Tbilisi Ivane Javakhishvili State University

Abstract: We give a complete classification of the algebraic sets and coordinate groups for the systems of equations in one variable over a free nilpotent group.

Keywords: algebraic geometry over a group, algebraic set, coordinate group.

UDC: 512.5

Received: 03.10.2005
Revised: 28.03.2006


 English version: Siberian Mathematical Journal, 2007, 48:1, 3–7

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© Steklov Math. Inst. of RAS, 2024