Results 71 to 80 of about 83,213 (229)
Boundedness of the p-primary torsion of the Brauer group of products of varieties
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
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
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
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]
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
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
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
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]
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
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

