Add to ORKGConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index in Aut(G) such that for phi is an element of H the Reidemeister number R(phi) is infinite. This includes all finitely generated nonpolycyclic groups G that fall into one of the following classes: nilpotent-by-abelian groups of type FP(infinity); groups G/G `` of finite Prufer rank; groups G of type FP(2) without free nonabelian subgroups and with nonpolycyclic maximal metabelian quotient; some direct products of groups; or the pure symmetric automorphism group. Using a different argument we show that the result also holds for 1-ended nonabelian nonsurface limit groups. In som...
For the unitary dual mapping of an automorphism of a torsion-free, finite rank nilpotent group, we p...
The generalized Nottingham group was introduced over finite fields in 95 by Shalev, aiming to find...
The generalized Nottingham group was introduced over finite fields in 95 by Shalev, aiming to find...
Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index ...
Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index ...
Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index ...
The Reidemeister number of an automorphism ϕ of an Abelian group G is calculated by determining the ...
Let (Formula presented.) be an automorphism of a group which is a free product of finitely many grou...
We prove that for any automorphism $\phi$ of the restricted wreath product $\mathbb{Z}_2 \mathrm{wr}...
We construct new families of groups with property (T) and infinitely many alternating group quotient...
AbstractThis paper studies Aut A in the case in which A is an infinite abelian group and Aut A is fi...
We give a series of interesting subgroups of finite index in Aut(Fn). One of them has index 42 in Au...
We prove that a saturated weakly branch group G on an infinite spherically symmetric rooted tree T (...
AbstractLet F be an infinitely generated free group and let R be a fully invariant subgroup of F suc...
A well-known theorem of B. H. Neumann states that a group has finite conjugacy classes of subgroups ...
For the unitary dual mapping of an automorphism of a torsion-free, finite rank nilpotent group, we p...
The generalized Nottingham group was introduced over finite fields in 95 by Shalev, aiming to find...
The generalized Nottingham group was introduced over finite fields in 95 by Shalev, aiming to find...
Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index ...
Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index ...
Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index ...
The Reidemeister number of an automorphism ϕ of an Abelian group G is calculated by determining the ...
Let (Formula presented.) be an automorphism of a group which is a free product of finitely many grou...
We prove that for any automorphism $\phi$ of the restricted wreath product $\mathbb{Z}_2 \mathrm{wr}...
We construct new families of groups with property (T) and infinitely many alternating group quotient...
AbstractThis paper studies Aut A in the case in which A is an infinite abelian group and Aut A is fi...
We give a series of interesting subgroups of finite index in Aut(Fn). One of them has index 42 in Au...
We prove that a saturated weakly branch group G on an infinite spherically symmetric rooted tree T (...
AbstractLet F be an infinitely generated free group and let R be a fully invariant subgroup of F suc...
A well-known theorem of B. H. Neumann states that a group has finite conjugacy classes of subgroups ...
For the unitary dual mapping of an automorphism of a torsion-free, finite rank nilpotent group, we p...
The generalized Nottingham group was introduced over finite fields in 95 by Shalev, aiming to find...
The generalized Nottingham group was introduced over finite fields in 95 by Shalev, aiming to find...