Results 91 to 100 of about 12,511,421 (301)

On the Finite Groups that all Their Semi-Cayley Graphs are Quasi-Abelian [PDF]

Mathematics Interdisciplinary Research, 2018
In this paper, we prove that every semi-Cayley graph over a group G is quasi-abelian if and only if G is abelian.
Majid Arezoomand
doaj   +1 more source

Distance Powers and Distance Matrices of Integral Cayley Graphs over Abelian Groups [PDF]

, 2012
It is shown that distance powers of an integral Cayley graph over an abelian group are again integral Cayley graphs over that group. Moreover, it is proved that distance matrices of integral Cayley graphs over abelian groups have integral ...
Klotz, W., Sander, T.
core  

Conductor of an abelian group

Journal of Algebra, 2009
AbstractLetE(G)=End(G)/N(End(G)). Our goal in this paper is to study direct sum decompositions of certain reduced torsion-free finite rank (rtffr) abelian groups by introducing an ideal τ of E(G) called a conductor of G. This ideal induces a natural ring decomposition E(G)=E(G)(τ)×E(G)τ and a natural direct sum decomposition G=G(τ)⊕Gτ for an rtffr ...
openaire   +2 more sources

Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds

Bulletin of the London Mathematical Society, EarlyView.
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley   +1 more source

THE DP-RANK OF ABELIAN GROUPS [PDF]

The Journal of Symbolic Logic, 2019
AbstractAn equation to compute the dp-rank of any abelian group is given. It is also shown that its dp-rank, or more generally that of any one-based group, agrees with its Vapnik–Chervonenkis density. Furthermore, strong abelian groups are characterised to be precisely those abelian groups A such that there are only finitely many primes p such that the
Halevi, Yatir, Palacín Cruz, Daniel
openaire   +5 more sources

On the universal pairing for 2‐complexes

Bulletin of the London Mathematical Society, EarlyView.
Abstract The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 in [Freedman, Kitaev, Nayak, Slingerland, Walker, and Wang, J. Geom. Topol. 9 (2005), 2303–2317]. We prove an analogous result for 2‐complexes, and show that the universal pairing does not detect the difference between simple homotopy equivalence and 3 ...
Mikhail Khovanov, Vyacheslav Krushkal, John Nicholson   +2 more
wiley   +1 more source

Pathological computations of Mackey functor‐valued Tor over cyclic groups

Bulletin of the London Mathematical Society, EarlyView.
Abstract In equivariant algebra, Mackey functors play the role of abelian groups and Green and Tambara functors play the role of commutative rings. In this paper, we compute Mackey functor‐valued Tor over certain free Green and Tambara functors, generalizing the computation of Tor over a polynomial ring on one generator.
David Mehrle, J. D. Quigley, Michael Stahlhauer   +2 more
wiley   +1 more source

A class of multiplicative linear functionals on the measure algebra of a locally compact Abelian group

, 1960
1.1 Group preliminaries. Throughout this paper, "group" means "locally compact nondiscrete Abelian group’’ unless the contrary is explicitly stated, and G, with elements x, y, u, will denote such a group. The group of continuous characters of G (taken as
E. Hewitt, S. Kakutani
semanticscholar   +1 more source

Colimits of abelian groups

Journal of Algebra, 2015
In this paper we study the colimit N_2(G) of abelian subgroups of a discrete group G. This group is the fundamental group of a subspace B(2,G) of the classifying space BG. We describe N_2(G) for certain groups, and apply our results to study the homotopy type of the space B(2,G). We give a list of classes of groups for which B(2,G) is not an Eilenberg--
openaire   +3 more sources

Residually nilpotent groups of homological dimension 1

Bulletin of the London Mathematical Society, EarlyView.
Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
wiley   +1 more source