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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2013 Volume 54, Number 6, Pages 1203–1215 (Mi smj2488)

This article is cited in 12 papers

On the residual finiteness of the HNN-extensions and generalized free products of finite rank groups

D. N. Azarov

Ivanovo State University, Ivanovo, Russia

Abstract: We obtain necessary and sufficient conditions for the residual finiteness for some HNN-extensions and generalized free products of soluble minimax groups.

Keywords: HNN-extension, generalized free product, soluble group, residual finiteness, almost approximability by finite $p$-groups.

UDC: 512.543

Received: 14.01.2013


 English version:
Siberian Mathematical Journal, 2013, 54:6, 959–967

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© Steklov Math. Inst. of RAS, 2026