Groups with subnormal subgroups of bounded defect
Growth Series of Finite Extensions of ...n are Rational.
Gruppi fattorizzati da sottogruppi ciclici
Horocyclic products of trees
Let be homogeneous trees with degrees , respectively. For each tree, let be the Busemann function with respect to a fixed boundary point (end). Its level sets are the horocycles. The horocyclic product of is the graph consisting of all -tuples with , equipped with a natural neighbourhood relation. In the present paper, we explore the geometric, algebraic, analytic and probabilistic properties of these graphs and their isometry groups. If and then we obtain a Cayley graph of the...
Ia-Automorphisms and Permutational Wreath Products
Infinite groups with many permutable subgroups.
Infinite two-generator groups of class two and their non-abelian tensor 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
-groups and wreath products
We give criteria for a wreath product to have complemented subgroup-lattice.
Knit products of some groups and their applications
Linear properties of poly-Fuchsian groups.
Metabelian Representations and the Isomorphism Problem.
Mixing times for Markov chains on wreath products and related homogeneous spaces.
Morphisms of Mislin genera induced by finite normal subgroups.
Normal Subgroup of Product of Groups
In [6] it was formalized that the direct product of a family of groups gives a new group. In this article, we formalize that for all j ∈ I, the group G = Πi∈IGi has a normal subgroup isomorphic to Gj. Moreover, we show some relations between a family of groups and its direct product.
Note on a question of Reinhold Baer on pregroups
Note on a Question of Reinhold Baer on Pregroups II
On a problem on explicit embeddings of the group .