For every integere≧3 there exists a non-free torsion-free profinite group containing as an open subgroup.doi:10.1007/BF02759765Dan HaranSpringer-VerlagIsrael Journal of MathematicsD. Haran, Non free torsion free profinite groups with open free subgroups , Israel Journal of Mathematics 50 (1985)...
Free subgroups of finitely generated free profinite groups We give new and improved results on the freeness of subgroups of free profinite groups: A subgroup containing the normal closure of a finite word in the el... M Shusterman - 《Journal of the London Mathematical Society》 被引量: 5...
The theory of covering spaces is often used to prove the Nielsen-Schreier theorem, which states that every subgroup of a free group is free. We apply the more general theory of semicovering spaces to obtain analogous subgroup theorems for topological groups: Every open subgroup of a free Graev...
+ U (n times) and let U∞ = ∪n U(n), which is an open subgroup. We shall suppose that one can choose U such that U∞=X : this hypothesis is satisfied by all the common groups, and we do not seek generality. Let (hn) be a continuous partition of unity, locally finite, and...
Brody1,2,4 Soluble amyloid-beta (Aβ) aggregates likely contribute substantially to the dementia that characterizes Alzheimer's disease. However, despite intensive study of in vitro preparations and animal models, little is known about the characteristics of soluble Aβ aggregates in the human...
The listener is always chosen randomly from the group while the speaker can be chosen randomly, or with a probability proportional to their reputation, or from a subgroup of the listener's closest friends. The time to consensus was defined as the time it takes for the absolute differences ...
Let G be a reductive group defined over F and G=G(F). A representation of G on a complex vector space W is said to be smooth if for each w∈W the stabilizer of w is an open subgroup of G. Let us denote by G ∧ the set of isomorphism classes of irreducible smooth ...
Let E_n be the Lubin-Tate spectrum and let G_n be the nth extended Morava stabilizer group. Then there is a discrete G_n-spectrum F_n, with L_{K(n)}(F_n) \simeq E_n, that has the property that (F_n)^{hU} \simeq E_n^{hU}, for every open subgroup U of G_n.
Let G be a group such that the closure of every countable subgroup of G is compact. Does Player P have a stationary winning strategy in the selectively sequentially pseudocompact game Ssp(G) on G? We finish with a stronger version of [4, Question 1.5]: Question 10.4 If an Abelian group...
Subgroup Analysis We removed studies with overall high risk of bias (eTable 3 in Supplement 1) and repeated the meta-analysis for those with low risk and high risk of bias. Subgroup analyses based on risk of bias were not applicable for EORTC 48 weeks, EQ-5D 24 weeks, and ED visits. ...