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IJAC
2010
122views more  IJAC 2010»
14 years 8 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»
14 years 10 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
15 years 11 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