Higgs inflation can occur if the Standard Model (SM) is a self-consistent effective field theory up to inflationary scale. This leads to a lower bound on the Higgs boson mass, Mh ≥ Mcrit. If Mh is more than a few hundreds of MeV above the critical value, the Higgs inflation predicts the universal values of inflationary indexes, r ' 0.003 and ns ' 0.97, independently on the Standard Model parame...

A subgroup H of a group G is called conjugately dense in G if H has nonempty intersection with each class of conjugate elements in G. The knowledge of conjugately dense subgroups is related with an unsolved problem in group theory, as testified in the Kourovka Notebook. Here we point out the role of conjugately dense subgroups in generalized FC-groups, generalized soluble groups and generalized...

‎we describe a new type of presentation that‎, ‎when consistent‎, ‎describes a polycyclic group‎. ‎this presentation is obtained by‎ ‎refining a series of normal subgroups with‎ ‎abelian sections‎. ‎these presentations can be described effectively in‎ ‎computer-algebra-systems like {scshape gap} or ‎{scshape magma}‎. ‎we study these ‎presentations and‎, ‎in particular‎, ‎we obtain consistency c...