Results 11 to 20 of about 34,889 (238)
Two isomorphism criteria for directed colimits [PDF]
Using the general notions of finitely presentable and finitely generated object introduced by Gabriel and Ulmer in 1971, we prove that, in any (locally small) category, two sequences of finitely presentable objects and morphisms (or two sequences of ...
Marra, Vincenzo, Spada, Luca
core +2 more sources
A Cancellation Criterion for Finite-Rank Torsion-Free Abelian Groups [PDF]
In this paper, a necessary ring-theoretical criterion is given for a finite-rank torsion-free abelian group to have the cancellation property. This generalizes results obtained by L. Fuchs and F. Loonstra [5] for the rank-one case and resolves the cancellation problem for strongly indecomposable groups.
openaire +2 more sources
Frobenius groups of automorphisms and their fixed points [PDF]
Suppose that a finite group $G$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ and complement $H$ such that the fixed-point subgroup of $F$ is trivial: $C_G(F)=1$.
Belyaev V. V. +10 more
core +2 more sources
On the intersection of free subgroups in free products of groups [PDF]
Let (G_i | i in I) be a family of groups, let F be a free group, and let G = F *(*I G_i), the free product of F and all the G_i. Let FF denote the set of all finitely generated subgroups H of G which have the property that, for each g in G and each i in ...
Cauchy +9 more
core +2 more sources
L2-invariants of nonuniform lattices in semisimple Lie groups [PDF]
We compute L2-invariants of certain nonuniform lattices in semisimple Lie groups by means of the Borel-Serre compactification of arithmetically defined locally symmetric spaces. The main results give new estimates for Novikov-Shubin numbers and vanishing
Kammeyer, Holger
core +2 more sources
Cohomology and profinite topologies for solvable groups of finite rank [PDF]
Assume $G$ is a solvable group whose elementary abelian sections are all finite. Suppose, further, that $p$ is a prime such that $G$ fails to contain any subgroups isomorphic to $C_{p^\infty}$.
Lorensen, Karl
core +1 more source
The homotopy type of the loops on $(n-1)$-connected $(2n+1)$-manifolds
For $n\geq 2$ we compute the homotopy groups of $(n-1)$-connected closed manifolds of dimension $(2n+1)$. Away from the finite set of primes dividing the order of the torsion subgroup in homology, the $p$-local homotopy groups of $M$ are determined by ...
A Berglund +24 more
core +1 more source
Finitely generated soluble groups and their subgroups [PDF]
We prove that every finitely generated soluble group which is not virtually abelian has a subgroup of one of a small number of types.Comment: 16 ...
Derek F. Holt +3 more
core +1 more source
Homogeneity and prime models in torsion-free hyperbolic groups [PDF]
We show that any nonabelian free group $F$ of finite rank is homogeneous; that is for any tuples $\bar a$, $\bar b \in F^n$, having the same complete $n$-type, there exists an automorphism of $F$ which sends $\bar a$ to $\bar b$.
Houcine, Abderezak Ould
core +3 more sources
This review explores functional and responsive materials for triboelectric nanogenerators (TENGs) in sustainable smart agriculture. It examines how particulate contamination and dirt affect charge transfer and efficiency. Environmental challenges and strategies to enhance durability and responsiveness are outlined, including active functional layers ...
Rafael R. A. Silva +9 more
wiley +1 more source

