scholarly journals Quadratic isoperimetric inequality for mapping tori of polynomially growing automorphisms of free groups

2000 ◽  
Vol 10 (4) ◽  
pp. 874-901 ◽  
Author(s):  
N. Macura
Keyword(s):  
Isoperimetric Inequality ◽  
Free Groups ◽  
Automorphisms Of Free Groups ◽  
Mapping Tori ◽  
Quadratic Isoperimetric Inequality

scholarly journals Normal automorphisms of free groups

1980 ◽  
Vol 64 (1) ◽  
pp. 52-53 ◽  
Author(s):  
Abraham S.-T. Lue
Keyword(s):  
Free Groups ◽  
Automorphisms Of Free Groups

scholarly journals A dendrological proof of the Scott conjecture for automorphisms of free groups

1998 ◽  
Vol 41 (2) ◽  
pp. 325-332 ◽  
Author(s):  
D. Gaboriau ◽  
G. Levitt ◽  
M. Lustig
Keyword(s):  
Free Group ◽  
Free Groups ◽  
Alternative Proof ◽  
Automorphisms Of Free Groups

Let α be an automorphism of a free group of rank n. The Scott conjecture, proved by Bestvina-Handel, asserts that the fixed subgroup of α has rank at most n. We give a short alternative proof of this result using R-trees.

scholarly journals Centralisers of Dehn twist automorphisms of free groups

2015 ◽  
Vol 159 (1) ◽  
pp. 89-114 ◽  
Author(s):  
MORITZ RODENHAUSEN ◽  
RICHARD D. WADE
Keyword(s):  
Free Group ◽  
Finite Index ◽  
Free Groups ◽  
Dehn Twist ◽  
Classifying Space ◽  
Dehn Twists ◽  
Automorphisms Of Free Groups

AbstractWe refine Cohen and Lustig's description of centralisers of Dehn twists of free groups. We show that the centraliser of a Dehn twist of a free group has a subgroup of finite index that has a finite classifying space. We describe an algorithm to find a presentation of the centraliser. We use this algorithm to give an explicit presentation for the centraliser of a Nielsen automorphism in Aut(Fn). This gives restrictions to actions of Aut(Fn) on CAT(0) spaces.

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