Results 61 to 70 of about 84,430 (244)
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
The log Grothendieck ring of varieties
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross +4 more
wiley +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
Residually rationally solvable one‐relator groups
Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
wiley +1 more source
Fitting quotients of finitely presented abelian-by-nilpotent groups [PDF]
We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpotent group by its largest nilpotent normal ...
Groves, J. R. J., Strebel, Ralph
core
Torsion classes of extended Dynkin quivers over commutative rings
Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
wiley +1 more source
Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion [PDF]
In this paper we prove the Geyer‐Jarden conjecture on the torsion part of the Mordell‐Weil group for a large class of abelian varieties defined over finitely generated fields of arbitrary characteristic.
S. Arias-de-Reyna +2 more
semanticscholar +1 more source
Radical preservation and the finitistic dimension
Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley +1 more source

