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$l$ -многообразия без независимого базиса тождеств

N.Ya. Medvedev (1982)

Mathematica Slovaca

Large free subgroups of automorphism groups of ultrahomogeneous spaces

Szymon Głąb, Filip Strobin (2015)

Colloquium Mathematicae

We consider the following notion of largeness for subgroups of $S_{\infty}$ . A group G is large if it contains a free subgroup on generators. We give a necessary condition for a countable structure A to have a large group Aut(A) of automorphisms. It turns out that any countable free subgroup of $S_{\infty}$ can be extended to a large free subgroup of $S_{\infty}$ , and, under Martin’s Axiom, any free subgroup of $S_{\infty}$ of cardinality less than can also be extended to a large free subgroup of $S_{\infty}$ . Finally, if Gₙ are countable groups, then...

Lengths In Semi-Free Groups.

Mohammad I. Khanfar (1988)

Revista colombiana de matematicas

Lengths of involutions in Coxeter groups.

Perkins, Sarah B., Rowley, Peter J. (2004)

Journal of Lie Theory

Lie-Algebren mit SI-Bedingungen.

H. Heineken (1976)

Journal für die reine und angewandte Mathematik

L'image d'un groupe dans un groupe hyperbolique.

T. Delzant (1995)

Commentarii mathematici Helvetici

Limit groups and groups acting freely on $ℝ^{n}$ -trees.

Guirardel, Vincent (2004)

Geometry & Topology

Limit groups for relatively hyperbolic groups. II: Makanin-Razborov diagrams.

Groves, Daniel (2005)

Geometry & Topology

Limits of (certain) CAT(0) groups. I: Compactification.

Groves, Daniel (2005)

Algebraic & Geometric Topology

Limits of relatively hyperbolic groups and Lyndon’s completions

Olga Kharlampovich, Alexei Myasnikov (2012)

Journal of the European Mathematical Society

We describe finitely generated groups $H$ universally equivalent (with constants from $G$ in the language) to a given torsion-free relatively hyperbolic group $G$ with free abelian parabolics. It turns out that, as in the free group case, the group $H$ embeds into the Lyndon’s completion $G^{ℤ [t]}$ of the group $G$ , or, equivalently, $H$ embeds into a group obtained from $G$ by finitely many extensions of centralizers. Conversely, every subgroup of $G^{ℤ [t]}$ containing $G$ is universally equivalent to $G$ . Since finitely generated...

Linear preserver problems and algebraic groups.

V.P. Platonov, D.Z. Dokovic (1995)

Mathematische Annalen

Linear properties of poly-Fuchsian groups.

F.E.A. Johnson (1994)

Collectanea Mathematica

Localization and Cohomology of Nilpotent Groups.

Peter Hilton (1973)

Mathematische Zeitschrift

Localization and cohomology of nilpotent groups

Peter Hilton (1973)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Locally Compact Groups Acting on Trees and Property T.

Roger Alperin (1982)

Monatshefte für Mathematik

Locally finite groups with all subgroups either subnormal or nilpotent-by-Chernikov

Giovanni Cutolo, Howard Smith (2012)

Open Mathematics

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).

Javier Otal, Juan Manuel Peña (1988)

Publicacions Matemàtiques

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.

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.

Currently displaying 1 – 20 of 22