Limit groups and groups acting freely on -trees.
Limit groups for relatively hyperbolic groups. II: Makanin-Razborov diagrams.
Limits of (certain) CAT(0) groups. I: Compactification.
Limits of relatively hyperbolic groups and Lyndon’s completions
We describe finitely generated groups universally equivalent (with constants from in the language) to a given torsion-free relatively hyperbolic group with free abelian parabolics. It turns out that, as in the free group case, the group embeds into the Lyndon’s completion of the group , or, equivalently, embeds into a group obtained from by finitely many extensions of centralizers. Conversely, every subgroup of containing is universally equivalent to . Since finitely generated...
Linear dependence of zeros of polynomials and construction of primitve elements.
Linear groups with the maximal condition on subgroups of infinite central dimension.
Linear properties of poly-Fuchsian groups.
Linear representations of the group of conjugating automorphisms and the braid groups of some manifolds.
Localization of group rings and applications to 2-complexes.
Locally finite classical Tits chamber Systems of large order.
Locally finite groups with all subgroups either subnormal or nilpotent-by-Chernikov
Let G be a locally finite group satisfying the condition given in the title and suppose that G is not nilpotent-by-Chernikov. It is shown that G has a section S that is not nilpotent-by-Chernikov, where S is either a p-group or a semi-direct product of the additive group A of a locally finite field F by a subgroup K of the multiplicative group of F, where K acts by multiplication on A and generates F as a ring. Non-(nilpotent-by-Chernikov) extensions of this latter kind exist and are described in...
Locally graded groups with certain minimal conditions for subgroups (II).
This paper deals with one of the ways of studying infinite groups many of whose subgroups have a prescribed property, namely the consideration of minimal conditions. If P is a theoretical property of groups and subgroups, we show that a locally graded group P satisfies the minimal conditions for subgroups not having P if and only if either G is a Cernikov group or every subgroup of G satisfies P, for certain values of P concerning normality, nilpotency and related ideas.
Locally nilpotent linear groups with the weak chain conditions on subgroups of infinite central dimension .
Locally partially ordered groups
Locally solid topological lattice-ordered groups
Locally solid Riesz spaces have been widely investigated in the past several decades; but locally solid topological lattice-ordered groups seem to be largely unexplored. The paper is an attempt to initiate a relatively systematic study of locally solid topological lattice-ordered groups. We give both Roberts-Namioka-type characterization and Fremlin-type characterization of locally solid topological lattice-ordered groups. In particular, we show that a group topology on a lattice-ordered group is...
Locally soluble cofinitary groups with few fixed points.
Locally soluble groups with all nontrivial normal subgroups isomorphic.
Let G be an infinite, locally soluble group which is isomorphic to all its nontrivial normal subgroups. If G/G' has finite p-rank for p = 0 and for all primes p, then G is cyclic.
Locally soluble-by-finite groups with small deviation for non-subnormal subgroups
A group has subnormal deviation at most if, for every descending chain of non-subnormal subgroups of , for all but finitely many there is no infinite descending chain of non-subnormal subgroups of that contain and are contained in . This property , say, was investigated in a previous paper by the authors, where soluble groups with and locally nilpotent groups with were effectively classified. The present article affirms a conjecture from that article by showing that locally soluble-by-finite...
Locally toroidal regular polytopes of rank 4.
Lokale Subnormalteiler und ihr nilpotentes Residuum.