Results 11 to 20 of about 24,557 (95)

On abstract commensurators of groups

, 2009
We prove that the abstract commensurator of a nonabelian free group, an infinite surface group, or more generally of a group that splits appropriately over a cyclic subgroup, is not finitely generated.
Boileau M., Borel A., Bridson M., Farb B., L. Bartholdi, Macedońska O., O. Bogopolski, Paulin F.   +7 more
core   +1 more source

Cohomology and profinite topologies for solvable groups of finite rank [PDF]

, 2012
Assume $G$ is a solvable group whose elementary abelian sections are all finite. Suppose, further, that $p$ is a prime such that $G$ fails to contain any subgroups isomorphic to $C_{p^\infty}$.
Lorensen, Karl
core   +1 more source

Spectral Analysis Implies Spectral Synthesis

Mathematics
In this paper we show that spectral analysis implies spectral synthesis for arbitrary varieties on locally compact Abelian groups that have no discrete subgroups of an infinite torsion-free rank.
László Székelyhidi
doaj   +1 more source

Inertial endomorphisms of an abelian group

, 2013
We describe inertial endomorphisms of an abelian group $A$, that is endomorphisms $\varphi$ with the property $|(\varphi(X)+X)/X|
Dardano, Ulderico, Rinauro, Silvana
core   +1 more source

A generalization of the Pontryagin-Hill theorems to projective modules over Pr\"ufer domains

, 2011
Motivated by the Pontryagin-Hill criteria of freeness for abelian groups, we investigate conditions under which unions of ascending chains of projective modules are again projective.
Auslander, Bazzoni, Cartier, Cornelius, Fuchs, Hill, Jorge Macías-Díaz, Warfield   +7 more
core   +1 more source

Obstructions to nonpositive curvature for open manifolds

, 2014
We study algebraic conditions on a group G under which every properly discontinuous, isometric G-action on a Hadamard manifold has a G-invariant Busemann function.
Alperin, Auslander, Ballmann, Baumslag, Baumslag, Bekka, Belegradek, Bestvina, Bestvina, Bieri, Borel, Bredon, Bridson, Brown, Burger, Calcut, Caprace, Caprace, Casson, Curtis, Davis, Davis, Dekimpe, Dekimpe, Despotovic, Eberlein, Geoghegan, Geoghegan, Glaser, Gromov, Guilbault, Guilbault, Guilbault, Haefliger, Heintze, Hillman, Husch, Igor Belegradek, Kargapolov, Karlsson, Kervaire, Kropholler, Lickorish, Luft, Mal'cev, Mess, Milnor, Munkres, Naor, Ontaneda, Ould Houcine, Richards, Robinson, Rourke, Siebenmann, Siebenmann, Spanier, Stallings, Strebel, Szczepański, Wall, Whitehead, Wilking, Yoon   +63 more
core   +1 more source

On the ring of inertial endomorphisms of an abelian group

, 2014
An endomorphisms $\varphi$ of an abelian group $A$ is said inertial if each subgroup $H$ of $A$ has finite index in $H+\varphi (H)$. We study the ring of inertial endomorphisms of an abelian group.
Dardano, Ulderico, Rinauro, Silvana
core   +1 more source

ADDITIVE GROUPS OF ASSOCIATIVE RINGS

Научный вестник МГТУ ГА, 2016
An abelian group is said to be semisimple if it is an additive group of at least one semisimple associative ring. It is proved that the description problem for semisimple groups is reduced to the case of reduced groups. As a consequence, it is shown that
E. I. Kompantseva
doaj  

Ampleness in the free group [PDF]

, 2012
We show that the theory of the free group -- and more generally the theory of any torsion-free hyperbolic group -- is $n$-ample for any $n\geq 1$.
Houcine, Abderezak Ould, Tent, Katrin
core   +3 more sources

Rigid abelian groups and the probabilistic method

, 2011
The construction of torsion-free abelian groups with prescribed endomorphism rings starting with Corner's seminal work is a well-studied subject in the theory of abelian groups.
Braun, Gábor, Pokutta, Sebastian
core   +1 more source