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» Automorphic orbits in Free Groups: Words versus Subgroups
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IJAC
2010
122views more  IJAC 2010»
13 years 2 months ago
Automorphic orbits in Free Groups: Words versus Subgroups
We show that the following problems are decidable in rank 2 free groups: does a given finitely generated subgroup H contain primitive elements? and does H meet the automorphic or...
Pedro V. Silva, Pascal Weil
IJAC
2007
116views more  IJAC 2007»
13 years 4 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
ICPR
2004
IEEE
14 years 5 months ago
Regression Analysis and Automorphic Orbits in Free Groups of Rank 2
The main goal of this paper is to show that pattern recognition techniques can be successfully used in abstract algebra. We introduce a pattern recognition system to recognize wor...
Alexei D. Miasnikov, Robert M. Haralick