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IJAC
2007
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13 years 5 months ago
Some Group Theory Problems
This is a survey of some problems in geometric group theory which I find interesting. The problems are from different areas of group theory. Each section is devoted to problems ...
Mark V. Sapir
IJAC
2007
62views more  IJAC 2007»
13 years 5 months ago
Property (FA) and Lattices in su(2, 1)
In this paper we consider Property (FA) for lattices in SU(2, 1). First, we prove that SU(2, 1; O3) has Property (FA). We then prove that the arithmetic lattices in SU(2, 1) of se...
Matthew Stover
IJAC
2007
117views more  IJAC 2007»
13 years 5 months ago
Equations in Free Inverse Monoids
It is known that the problem of determining consistency of a finite system of equations in a free group or a free monoid is decidable, but the corresponding problem for systems o...
Timothy Deis, John C. Meakin, Géraud S&eacu...
IJAC
2007
94views more  IJAC 2007»
13 years 5 months ago
Automorphism Groups of Squares and of Free Algebras
We show that certain finite groups do not arise as the automorphism group of the square of a finite algebraic structure, nor as the automorphism group of a finite, 2-generated, ...
Keith A. Kearnes, Steven T. Tschantz
IJAC
2007
59views more  IJAC 2007»
13 years 5 months ago
The Conjugacy Problem in Amalgamated Products I: Regular Elements and Black Holes
Alexandre V. Borovik, Alexei G. Myasnikov, Vladimi...
IJAC
2007
89views more  IJAC 2007»
13 years 5 months ago
Bounding Right-Arm Rotation Distances
Abstract. Rotation distance quantifies the difference in shape between two rooted binary trees of the same size by counting the minimum number of elementary changes needed to tra...
Sean Cleary, Jennifer Taback
IJAC
2007
116views more  IJAC 2007»
13 years 5 months ago
On the Complexity of the Whitehead Minimization Problem
The Whitehead minimization problem consists in finding a minimum size element in the automorphic orbit of a word, a cyclic word or a finitely generated subgroup in a finite rank...
Abdó Roig, Enric Ventura, Pascal Weil
IJAC
2007
85views more  IJAC 2007»
13 years 5 months ago
Limit Groups are Conjugacy Separable
A limit group is a finitely generated subgroup of a residually free group. We prove the result announced in the tittle. 2000 Mathematics Subject Classification: 20E06, 20E08, 20...
S. C. Chagas, Pavel Zalesskii