Results 91 to 100 of about 17,375 (238)

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

Infinite locally finite groups groups with the given properties of the norm of Abelian non-cyclic subgroups

Математичні Студії
In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
doaj   +1 more source

Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley   +1 more source

On the ring of inertial endomorphisms of an abelian p-group [PDF]

, 2012
An endomorphisms $\varphi$ of a group $G$ is said inertial if $\forall H\le G$ \ \ $|\varphi(H):(H\cap \varphi(H))|
RINAURO, Silvana, U. Dardano, DARDANO, ULDERICO, RINAURO S.   +3 more
core  

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

Freeness of certain torsion-free abelian groups / Ngu Min Hui [PDF]

, 2012
One of the old problems in abelian group theory is the following: When is a Torsion-free Abelian Group Free Abelian? This problem has been attacked by many mathematicians.
Ngui, Min Hu
core  

ON THE SUBGROUP LATTICE OF AN ABELIAN FINITE GROUP

Ratio Mathematica, 2005
The aim of this paper is to give some connections between the structure of an abelian finite group and the structure of its subgroup lattice,
Marius Tarnauceanu
doaj  

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

Special Abelian Group Difference Sets

, 1968
A abelian group difference set (abbreviated AGDS) (G, D) is a -subset D = {di}1k taken from an abelian group G of order v such that each element different from the identity e in G appears exactly λ times in the set of differences {didj-1}, where ...
E. C. Johnsen
core   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source