Results 61 to 70 of about 4,706 (177)

Computerized dynamic assessment of seriational thinking modifiability: Effects of mediation on seriation and readiness for math among kindergarten and grade 1 children

British Journal of Educational Psychology, Volume 96, Issue 2, Page 945-967, June 2026.
Abstract Background and Aims A vast body of theory and research highlights the operation of seriation as a prerequisite to mathematical thinking in young children. However, there is limited evidence that seriation interventions improve early years mathematics.
David Tzuriel, Dikla Hanuka‐Levi
wiley   +1 more source

Musical Mereology

Pacific Philosophical Quarterly, Volume 107, Issue 2, Page 58-73, June 2026.
ABSTRACT I develop an axiomatic system of mereology that accounts for the ways in which musical works can be said to have parts. I distinguish two fundamental modes of composition that musical works exhibit: successive composition, whereby sound events are concatenated in time, and simultaneous composition, whereby sound events occur at the same time ...
Alejandro G. Di Rienzo
wiley   +1 more source

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

Isoclinism Classes and Commutativity Degrees of Finite Groups

Journal of Algebra, 1995
Let \(G\) be a finite group, and for \(n\geq 0\), define \[ d_n(G)=|G|^{-(n+1)}|\{(x_1,\dots,x_{n+1})\in G^{n+1}\mid[x_i,x_j]=1,\;1\leq i,j\leq n+1\}|. \] So, \(d_1(G)=d(G)\) is the probability that two elements chosen randomly from \(G\) (with replacement) commute [see the reviewer, Am. Math. Mon. 80, 1031-1034 (1973; Zbl 0276.60013)].
openaire   +1 more source

On the Exterior Degree of a Finite-Dimensional Lie Algebra

Journal of mathematics
In this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field Fq and give upper and lower bounds. Also, we give some relations between this concept and commutativity degree, capability, and Schur multiplier.
A. Shamsaki, M. Parvizi, A. Erfanian
semanticscholar   +1 more source

On the cohomology of finite‐dimensional nilpotent groups and lie rings

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

The N‐prime graph and the Subgroup Isomorphism Problem

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici, Ángel del Río, Marco Vergani   +2 more
wiley   +1 more source

On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley   +1 more source

On nearly commutative degree one algebras [PDF]

Pacific Journal of Mathematics, 1970
Arrison, John D., Rich, Michael
openaire   +3 more sources

Automorphism groups of P1$\mathbb {P}^1$‐bundles over geometrically ruled surfaces

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We classify the pairs (X,π)$(X,\pi)$, where π:X→S$\pi \colon X\rightarrow S$ is a P1$\mathbb {P}^1$‐bundle over a non‐rational geometrically ruled surface S$S$ and Aut∘(X)$\mathrm{Aut}^\circ (X)$ is relatively maximal, that is, maximal with respect to the inclusion in the group Bir(X/S)$\mathrm{Bir}(X/S)$.
Pascal Fong
wiley   +1 more source