Results 71 to 80 of about 83,213 (229)

Boundedness of the p-primary torsion of the Brauer group of products of varieties

open access: yesForum of Mathematics, Sigma
Let k be a field finitely generated over its prime subfield. We prove that the quotient of the Brauer group of a product of varieties over k by the sum of the images of the Brauer groups of factors has finite exponent.
Alexei Skorobogatov, Alexander Petrov
doaj   +1 more source

Units in group rings and blocks of Klein four or dihedral defect

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We obtain restrictions on units of even order in the integral group ring ZG$\mathbb {Z}G$ of a finite group G$G$ by studying their actions on the reductions modulo 4 of lattices over the 2‐adic group ring Z2G$\mathbb {Z}_2G$. This improves the “lattice method” which considers reductions modulo primes p$p$, but is of limited use for p=2$p=2 ...
Florian Eisele, Leo Margolis
wiley   +1 more source

On the automorphism group of generalized Baumslag-Solitar groups

open access: yes, 2005
A generalized Baumslag-Solitar group (GBS group) is a finitely generated group $G$ which acts on a tree with all edge and vertex stabilizers infinite cyclic.
Bass   +15 more
core   +1 more source

Arithmetic sparsity in mixed Hodge settings

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Let X$X$ be a smooth irreducible quasi‐projective algebraic variety over a number field K$K$. Suppose X$X$ is equipped with a p$p$‐adic étale local system compatible with an admissible graded‐polarized variation of mixed Hodge structures on the complex analytification of XC$X_{\operatorname{\mathbb {C}}}$.
Kenneth Chung Tak Chiu
wiley   +1 more source

G-Tutte Polynomials and Abelian Lie Group Arrangements [PDF]

open access: yesInternational mathematics research notices, 2017
For a list $\mathcal{A}$ of elements in a finitely generated abelian group $\Gamma $ and an abelian group $G$, we introduce and study an associated $G$-Tutte polynomial, defined by counting the number of homomorphisms from associated finite abelian ...
YE Liu, T. Tran, M. Yoshinaga
semanticscholar   +1 more source

On Finite Extension and Conditions on Infinite Subsets of Finitely Generated FC and FNk-groups

open access: yesJournal of New Theory, 2018
Let k>0 an integer. F, τ,N, Nk, and A denote, respectively, the classes offinite, torsion, nilpotent, nilpotent of class at most k, group in which everytwo generator subgroup is in Nk and abelian groups.
Mourad Chelgham   +2 more
doaj  

On Gottlieb groups G_{n+k}(M(Z^m + Z_2,n)) for k=1,2

open access: yesPracì Mìžnarodnogo Geometričnogo Centru
We are motivated by [M. Arkowitz. K. Maruyama. J. Math. Soc. Japan, 66(3):735-743, 2014]: "It would be interesting to compute other Gottlieb groups of Moore spaces such as, for example, G{n+1}(M(A,n))" to compute the Gottlieb groups Gn+k(M(ℤm⊕ℤ2,n)) for ...
Thiago de Melo   +2 more
doaj   +1 more source

The Martin boundary of relatively hyperbolic groups with virtually abelian parabolic subgroups

open access: yes, 2018
Given a probability measure on a finitely generated group, its Martin boundary is a way to compactify the group using the Green's function of the corresponding random walk.
Dussaule, Matthieu   +3 more
core   +1 more source

On the automorphisms of the group ring of a finitely generated free abelian group [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1988
Let R be an associative ring with 1 and G a finitely generated torsion-free abelian group. In this note, we classify all R-automorphisms of the group ring RG. The special case where G is infinite cyclic was previously settled in [8], and our interest in this problem was rekindled by the recent paper of Mehrvarz and Wallace [7], who carried out the ...
openaire   +3 more sources

A note on the cohomology of moduli spaces of local shtukas

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley   +1 more source

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