Results 51 to 60 of about 222 (151)
Le Matematiche, 2006 Suppose G is with finite torsion-free rank a coproduct of p-mixed countable abelian groups and F is a field with characteristic p such that the group algebras FG and FH are F -isomorphic for another group H . Then G and H are isomorphic.
Peter Danchev
doaj
Generalized free wreath products and their operator algebras
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
wiley +1 more source
Isotopy and equivalence of knots in 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
wiley +1 more source
Independence and strong independence complexes of finite groups
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Let G$G$ be a finite group. In [10], two different concepts of independence (namely, independence and strong independence) are introduced for the subsets of G$G$, yielding to the definition of two simplicial complexes whose vertices are the elements of G$G$. The strong independence complex Σ∼(G)$\tilde{\Sigma }(G)$ turns out to be a subcomplex
Andrea Lucchini, Mima Stanojkovski
wiley +1 more source
Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
A note on products of homogeneous torsion free abelian groups [PDF]
Proceedings of the American Mathematical Society, 1969 In his book on abelian groups, L. Fuchs remarks [1, p. 173] that a direct product of torsion free groups of rank one and the same type r is a homogeneous torsion free group of type r. It is easy to give an example to show that this is not the case. Moreover, the example suggests the correct statement concerning the type set of an infinite product of ...
openaire +1 more source
KULIKOV'S PROBLEM ON UNIVERSAL TORSION-FREE ABELIAN GROUPS
Journal of the London Mathematical Society, 2003 Let T be an abelian group and lambda an uncountable regular cardinal. We consider the question of whether there is a lambda-universal group G^* among all torsion-free abelian groups G of cardinality less than or equal to lambda satisfying Ext(G,T)=0.
Shelah, Saharon, Strüngmann, Lutz
openaire +3 more sources
On the indecomposability of torsion-free abelian groups [PDF]
Proceedings of the American Mathematical Society, 1965 1. We consider the following question posed by E. Weinberg [4, ?5.2]: Does there exist a torsion-free abelian group of cardinality greater than the continuum (K) with the property that each pure subgroup is (directly) indecomposable? In ?2 we answer this question negatively for a large class of groups which contains, most notably, the class of ...
openaire +1 more source
On the Abelianization of a Torsion Free Crystallographic Group
Jurnal Teknologi, 2014 A torsion free crystallographic group, which is also known as a Bieberbach group is a generalization of free abelian groups. It is an extension of a lattice group by a finite point group. The study of n-dimensional crystallographic group had been done by many researchers over a hundred years ago.
Mohd. Idrus, Nor'ashiqin +3 more
openaire +2 more sources
Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion-freeness. [PDF]
Bull Lond Math Soc, 2022 Hughes S.
europepmc +1 more source