Results 11 to 20 of about 24,352 (94)

Complexity volumes of splittable groups

, 2018
Using graph of groups decompositions of finitely generated groups, we define Euler characteristic type invariants which are non-zero in many interesting classes of finitely presented, hyperbolic, limit and CSA groups, including elementarily free groups ...
Sykiotis, Mihalis
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
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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

On the congruence subgroup property for GGS-groups

, 2016
We show that all GGS-groups with non-constant defining vector satisfy the congruence subgroup property. This provides, for every odd prime $p$, many examples of finitely generated, residually finite, non-torsion groups whose profinite completion is a pro-
Fernández-Alcober, Gustavo A., Garrido, Alejandra, Uria-Albizuri, Jone   +2 more
core   +1 more source

Finite and infinite quotients of discrete and indiscrete groups

, 2018
These notes are devoted to lattices in products of trees and related topics. They provide an introduction to the construction, by M. Burger and S. Mozes, of examples of such lattices that are simple as abstract groups.
Agol, Bestvina, Burger, Camm, Cannon, Chinburg, Dahmani, Davis, Delzant, Dixon, Grigorchuk, Grigorchuk, Gromov, Higman, Higman, Higman, Jacobson, Katz, Kimberley, Kneser, Kuroš, Liebeck, Liebeck, Long, Margulis, Neumann, Neumann, Ol’shanskiĬ, Ol’shanskiĬ, Osin, Platonov, Rapinchuk, Rattaggi, Sageev, Tits, Tits, Wielandt, Wilson, Wilton, Wise, Wise   +40 more
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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

On the Tits alternative for $PD(3)$ groups

, 2019
We prove the Tits alternative for an almost coherent $PD(3)$ group which is not virtually properly locally cyclic. In particular, we show that an almost coherent $PD(3)$ group which cannot be generated by fewer than four elements always contains a rank 2
Boileau, Michel, Boyer, Steven
core  

Unlikely intersections on the p-adic formal ball. [PDF]

Res Number Theory, 2023
Serban V.
europepmc   +1 more source

Quasi-Direct Decompositions of Torsion-Free Abelian Groups of Infinite Rank.

MATHEMATICA SCANDINAVICA, 1973
Fuchs, L., Viljoen, G.
openaire   +3 more sources