Inverse semigroup varieties with the amalgamation property.
Irreducibilty of alternating and symmetric squares.
Is Whaples' theorem a group theoretical result?
Isometry groups of non standard metric products
We consider isometry groups of a fairly general class of non standard products of metric spaces. We present sufficient conditions under which the isometry group of a non standard product of metric spaces splits as a permutation group into direct or wreath product of isometry groups of some metric spaces.
Isomorfismi reticolari e prodotti intrecciati
Isomorphism classes and derived series of certain almost-free groups.
Isotropic random walks on affine buildings
In this paper we apply techniques of spherical harmonic analysis to prove a local limit theorem, a rate of escape theorem, and a central limit theorem for isotropic random walks on arbitrary thick regular affine buildings of irreducible type. This generalises results of Cartwright and Woess where buildings are studied, Lindlbauer and Voit where buildings are studied, and Sawyer where homogeneous trees are studied (these are buildings).
Joins of Subnormal Subgroups are Serial.
Just Non-Metabelian Groups.
Just-non-SRI*-groups
-auflösbare Gruppen
-groups and wreath products
We give criteria for a wreath product to have complemented subgroup-lattice.
Kac-Moody groups, hovels and Littelmann paths
We give the definition of a kind of building for a symmetrizable Kac-Moody group over a field endowed with a discrete valuation and with a residue field containing . Due to the lack of some important property of buildings, we call it a hovel. Nevertheless, some good ones remain, for example, the existence of retractions with center a sector-germ. This enables us to generalize many results proved in the semisimple case by S. Gaussent and P. Littelmann. In particular, if , the geodesic segments...
Kartesisch und residuell abgeschlossene Gruppenklassen [Book]
Kneser and Hereditarily Kneser Subgroups of a Profinite Group
2000 Mathematics Subject Classification: 20E18, 12G05, 12F10, 12F99.Given a profinite group Γ acting continuously on a discrete quasi-cyclic group A, certain classes of closed subgroups of Γ (radical, hereditarily radical, Kneser, almost Kneser, and hereditarily Kneser) having natural field theoretic interpretations are defined and investigated. One proves that the hereditarily Kneser subgroups of Γ form a closed subspace of the irreducible spectral space of all closed subgroups of Γ, and a hereditarily...
Knit products of some groups and their applications
Kurosh-Amitsur radical theory for groups.
-многообразия без независимого базиса тождеств
-многообразия без независимого базиса тождеств. II.
Large free subgroups of automorphism groups of ultrahomogeneous spaces
We consider the following notion of largeness for subgroups of . 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 can be extended to a large free subgroup of , and, under Martin’s Axiom, any free subgroup of of cardinality less than can also be extended to a large free subgroup of . Finally, if Gₙ are countable groups, then...