Results 11 to 20 of about 34,889 (238)

Two isomorphism criteria for directed colimits [PDF]

open access: yes, 2013
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]

open access: yesProceedings of the American Mathematical Society, 1985
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]

open access: yes, 2010
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]

open access: yes, 2007
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]

open access: yes, 2013
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]

open access: yes, 2012
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

open access: yes, 2018
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]

open access: yes, 2011
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]

open access: yes, 2010
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

Functional Materials for Environmental Energy Harvesting in Smart Agriculture via Triboelectric Nanogenerators

open access: yesAdvanced Functional Materials, EarlyView.
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

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