Results 71 to 80 of about 14,530,265 (235)

The Classification of Lattices of Determinant 4 and Rank 5

Axioms
In this paper, we give the classification of the positive definite lattices with determinant 4 and rank 5.
Libo Zhao, Yangming Li, Lü Gong, Lili Li   +3 more
doaj   +1 more source

Normalizers and centralizers of subgroups in non-Abelian groups of small order [PDF]

Компьютерные исследования и моделирование, 2012
By applying the computer program, which is created by authors, we obtain the exact representation of normalizers and centralizers of all nontrivial subgroups in non-Abelian groups G under the condition |G|20.
Ilya Anatolievih Shilin, Aleksandr A. Aleksandrov   +1 more
doaj   +1 more source

Abelian groups that are direct summands of every containing abelian group

, 1940
It is a well known theorem that an abelian group G satisfying G = nG for every positive integer n is a direct summand of every abelian group H which contains G as a subgroup.
R. Baer
semanticscholar   +1 more source

Heights of Butterfly Trees

Random Structures &Algorithms, Volume 68, Issue 3, May 2026.
ABSTRACT Binary search trees (BSTs) are fundamental data structures whose performance is largely governed by tree height. We introduce a block model for constructing BSTs by embedding internal BSTs into the nodes of an external BST—a structure motivated by parallel data architectures—corresponding to composite permutations formed via Kronecker or ...
John Peca‐Medlin, Chenyang Zhong
wiley   +1 more source

On the Positive Definite Lattice with Determinant 5

Axioms
This paper is devoted to providing a classification of positive definite lattices with determinant 5 and a rank less than or equal to 6.
Libo Zhao, Yangming Li, Lü Gong, Huilong Gu   +3 more
doaj   +1 more source

Hereditary Coreflective Subcategories in Certain Categories of Abelian Semitopological Groups

Axioms, 2019
Let A be an epireflective subcategory of the category of all semitopological groups that consists only of abelian groups. We describe maximal hereditary coreflective subcategories of A that are not bicoreflective in A in the case that ...
Veronika Pitrová
doaj   +1 more source

On the finite generation of ideals in tensor triangular geometry

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Inspired by Cohen's characterization of Noetherian commutative rings, we study the finite generation of ideals in tensor triangular geometry. In particular, for an essentially small tensor triangulated category K$\mathcal {K}$ with weakly Noetherian spectrum, we show that every prime ideal in K$\mathcal {K}$ can be generated by finitely many ...
Tobias Barthel
wiley   +1 more source

Distance Powers and Distance Matrices of Integral Cayley Graphs over Abelian Groups [PDF]

, 2012
It is shown that distance powers of an integral Cayley graph over an abelian group are again integral Cayley graphs over that group. Moreover, it is proved that distance matrices of integral Cayley graphs over abelian groups have integral ...
Klotz, W., Sander, T.
core  

On the exceptional set in Littlewood's discrete conjecture

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.
I. D. Shkredov
wiley   +1 more source

The space of subgroups of an abelian group [PDF]

, 2008
We carry out the Cantor—Bendixson analysis of the space of all subgroups of any countable abelian group and we deduce a complete classification of such spaces up to homeomorphism.
Yves de Cornulier, L. Guyot, W. Pitsch
semanticscholar   +1 more source