Let H be a group, let {G(: i e 1} be a set of groups and, for each i, let 9t be a a monomorphism: H -* Gt, with H9t = Hi. We call such a system of groups and monomorphisms an amalgam and denote it by [G{; H; 9,; / / , ] . By an embedding of the amalgam into a group G is meant a set of monomorphisms (p; : G; -*• G such that 9i<pi = 0j<Pj-, for all i,j and G,<P; n Gjcpj — H9k<pk, for all i,j, k. ...

Background: Cucumber mosaic virus (CMV) from the Bromoviridae family, is one of the most widespread plant viruses in the world. Objectives: In the present study tomato fields in Guilan, Isfahan, Khorasan Razavi, Khuzestan and Tehran provinces were surveyed to determine the presence of CMV subgroups during 2011-2012. Materials and Methods: Out of 305 symptomatic leaf samples ...

virtual water adds a new dimension to crop trades and provides a new way of thinking about water scarcity. a systematic analysis of virtual water flows requires integration of all critical drivers of virtual water flows under a single consistent framework. the aim of this study was to assess virtual water flows related to trades of grain crops (wheat, corn, rice, and coarse cereals) and their i...

Croke–Kleiner admissible groups first introduced by Croke and Kleiner [CK02] belong to a particular class of graphs groups, which generalizes fundamental three-dimensional graph manifolds. In this paper, we show that if G is group, then finitely generated subgroup has finite height only it strongly quasiconvex. We also G↷X flip CKA action, quasiisometrically embedded into product quasitrees. Wi...

It is shown that every separable abelian topological group is isomorphic with a topological subgroup of a monothetic group (that is, a topological group with a single topological generator). In particular, every separable metrizable abelian group embeds into a metrizable monothetic group. More generally, we describe all topological groups that can be embedded into monothetic groups: they are ex...

Let S be a finite nonabelian simple group, and let H be a subgroup of S . In this work, the dominion (in the sense of Isbell) of H in S in Var(S) is determined, generalizing an example of B.H. Neumann. A necessary and sufficient condition for H to be epimorphically embedded in S is obtained. These results are then extended to a variety generated by a family of finite nonabelian simple groups. S...

the unit group of AK but has a finer topology (using the restricted product topology ensures that a 7→ a−1 is continuous, which is not true of the subspace topology). As a topological group, IK is locally compact and Hausdorff. The multiplicative group K× is canonically embedded as a discrete subgroup of IK via the diagonal map x 7→ (x, x, x, . . .), and the idele class group is the quotient CK...

We show that in an L-annularly linearly connected, N -doubling, complete metric space, any n points lie on a λ-quasicircle, where λ depends only on L,N and n. This implies, for example, that if G is a hyperbolic group that does not split over any virtually cyclic subgroup, then any geodesic line in G lies in a quasi-isometrically embedded copy of H.