Nielsen transformation

Known as: Nielsen equivalence, Nielsen equivalent, Nielsen reduction 
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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Topic mentions per year

1982-2016
02419822016

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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
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
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
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
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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