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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2007 Volume 48, Number 3, Pages 536–537 (Mi smj45)

This article is cited in 1 paper

On the isomorphism problem in the class of extensions of a free group by an infinite cyclic group

R. A. Vikent'ev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: In the automorphism group of a rank 3 free group we find two nonconjugate automorphisms whose mapping tori are isomorphic groups.

Keywords: free group, automorphism group, mapping torus of an automorphism, Tietze transformations.

UDC: 512.54:512.544.43+512.534.12

Received: 12.05.2006


 English version:
Siberian Mathematical Journal, 2007, 48:3, 428–429

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© Steklov Math. Inst. of RAS, 2026