The proof of this theorem is based on the correspondence between the characters of a uniform pro-p group and the orbits of the action of the group on the dual of its Lie algebra. This result is an analogue of the Kirillov theory, introduced first in the context of nilpotent Lie groups and then used in many other situations (see [7]). The correspondence is quite explicit and it also gives the ex...

background: most of the studies have reported higher occupational health hazâ­ards on hazardous waste workers (hww). however reports regarding the assoâ­ciation between health hazards and pro-inflammatory cytokines in hww are scanty. the present study was undertaken to evaluate the relationship between occupational health hazards and serum pro-inflammatory cytokines in hww. methods: one hundred...

BACKGROUND Patient-reported outcome (PRO) measures may be used at a group level for research and quality improvement and at the individual patient level to support clinical decision making and ensure efficient use of resources. The challenges involved in implementing PRO measures are mostly the same regardless of aims and diagnostic groups and include logistic feasibility, high response rates, ...

Let G be a pro-p group of finite cohomological dimension and type FP∞ and T is a finite p-group of automorphisms of G. We prove that the group of fixed points of T in G is again a pro-p group of type FP∞ (in particular it is finitely presented). Moreover we prove that a pro-p group G of type FP∞ and finite virtual cohomological dimension has finitely many conjugacy classes of finite subgroups.

A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete category. It includes each finite-dimensional Lie group, each locally-compact group that has a compact quotient group modulo its identity compo...

Let p be a prime. It is proved that a non-trivial word w from a free group F has finite width in every finitely generated pro-p group if and only if w 6∈ (F ′)pF ′′. Also it is shown that any word w has finite width in a compact p-adic group.