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An algorithm to find a basis of the fixed point subgroup of an endomorphism of a free group

Abstract

Here we discuss the way to find the basis of the fixed point subgroup of non-injective & non-surjective endomorphisms for the free group of rank two.

Geometric and Algebraic Topologysemigroups and automata theoryHomotopy and Cohomology in Algebraic TopologyGroup (periodic table)MathematicsFixed pointEndomorphismBasis (linear algebra)Point (geometry)CombinatoricsAlgorithmDiscrete mathematicsMathematical analysis
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An algorithm to find a basis of the fixed point subgroup of an endomorphism of a free group · Scinovex