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INVERSION IS POSSIBLE IN GROUPS WITH NO PERIODIC AUTOMORPHISMS

open access: yes, 2015
International audienceThere exist infinite, finitely presented, torsion-free groups G such that Aut(G) and Out(G) are torsion-free but G has an automorphism sending some non-trivial element to its ...
Bridson, Martin R., Short, Hamish
core   +3 more sources

Examples of retracts in a free group that are not the fixed subgroup of any group of automorphisms [PDF]

open access: yes, 2005
Let F be a free group of rank at least three. We show that some retracts of F previously studied by Martino-Ventura are not equal to the fixed subgroup of any group of automorphisms of F. This shows that, in F, there exist subgroups that are equal to the
Ciobanu, Laura   +2 more
core  

Almost fixed-point-free automorphisms of prime order

open access: yesOpen Mathematics, 2011
Wehrfritz Bertram
doaj   +1 more source

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