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Algebra Logika, 2003 Volume 42, Number 4, Pages 422–472 (Mi al39)

This article is cited in 17 papers

The Fixed Point Group of a Free Group Automorphism

O. S. Maslakova

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

Abstract: It is proved that the fixed point group of an arbitrary automorphism of a free group of finite rank has an algorithmically computable basis.

Keywords: automorphism, basis for fixed point groups of automorphisms, irreducible automorphism, free group of finite rank, relative train track map.

UDC: 512.54+512.544

Received: 10.05.2001


 English version:
Algebra and Logic, 2003, 42:4, 237–265

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© Steklov Math. Inst. of RAS, 2024