In mathematics, especially in the area of abstract algebra known as combinatorial group theory, Nielsen transformations, named after Jakob Nielsen… (More)

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2010

2010

- ELVIRA STRASSER RAPAPORT
- 2010

Let fli, • • • , an be free generators of the free group F„, Ci, • ■ ■ , cn those of the free group F/, N an isomorphism of Fn… (More)

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2009

2009

- ALEX JAMES BENE
- 2009

The mapping class group of a genus g surface Σg,1 with one boundary component is known to have a simple yet infinite presentation… (More)

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2009

2009

- Alexei Vernitski
- IJAC
- 2009

We study a graph related to the Andrews–Curtis graph. The vertices are pairs of elements of a free group, and two vertices are… (More)

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2007

2007

- Richard Weidmann
- 2007

Grushko’s theorem [Mat. Sb. 8 (1940) 169–182] says that any generating tuple (g1, . . . , gm) of a free product H ∗K is Nielsen… (More)

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2005

2005

We prove that the rank problem is decidable in the class of torsion-free wordhyperbolic Kleinian groups. We also show that every… (More)

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2002

2002

- Peter Saveliev
- 2002

X : f (x) = g(x)} is a compact subset of X\∂X. In case of codimension 0, the Nielsen number is the lower estimate of the number… (More)

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1999

1999

This paper investigates dynamics that persist under isotopy in classes of orientation-preserving homeomorphisms of orientable… (More)

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1999

1999

We study 2-generated subgroups of groups that act on simplicial trees. We show that any generating pair {g, h} of such a subgroup… (More)

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1984

1984

- Jürgen Avenhaus, Klaus Madlener
- Theor. Comput. Sci.
- 1984

The comp!exity of some classical algorithmic problems in free groups is studied. Problems like the genctralized word problem, to… (More)

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1982