most citedDetecting the growth of free group automorphisms by their action on the homology of subgroups of finite index

8 citations · 8 across the 2 of their papers we have counts for

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math.GR2005

Algorithmic constructions and primitive elements in the free group of rank 2

Adam Piggott

The centrepiece of this paper is a normal form for primitive elements which facilitates the use of induction arguments to prove properties of primitive elements. The normal form ar…

math.GR2004★ 8 cited

Detecting the growth of free group automorphisms by their action on the homology of subgroups of finite index

Adam Piggott

We prove that if F is a finitely generated free group and f:F -> F is an automorphism with polynomial growth of degree d, then there exists a characteristic subgroup S < F of finit…