Results 21 to 30 of about 14,530,265 (235)

On the Norm of the Abelian p-Group-Residuals

Mathematics, 2021
Let G be a group. Dp(G)=⋂H≤GNG(H′(p)) is defined and, the properties of Dp(G) are investigated. It is proved that Dp(G)=P[A], where P=D(P) is the Sylow p-subgroup and A=N(A) is a Hall p′-subgroup of Dp(G), respectively.
Baojun Li, Yu Han, Lü Gong, Tong Jiang
doaj   +1 more source

Abelian networks III. The critical group [PDF]

, 2015
The critical group of an abelian network is a finite abelian group that governs the behavior of the network on large inputs. It generalizes the sandpile group of a graph.
Bond, Benjamin, Levine, Lionel
core   +1 more source

Abelian Galois groups [PDF]

Proceedings of the American Mathematical Society, 1959
The question of the existence of noninner, nonouter Abelian Galois groups of noncommutative rings seems not to have been considered previously. Amitsur [1 ] may have come closest when he constructed noninner, nonouter cyclic division ring extensions.
openaire   +1 more source

Complementary dual abelian codes in group algebras of some finite abelian groups [PDF]

ITM Web of Conferences
Linear complementary dual codes have become an interesting sub-family of linear codes over finite fields since they can be practically applied in various fields such as cryptography and quantum error-correction. Recently, properties of complementary dual
Jitman Somphong
doaj   +1 more source

Quasi-minimal abelian groups [PDF]

Proceedings of the American Mathematical Society, 2004
An abelian groupGGis said to bequasi-minimal (purely quasi-minimal, directly quasi-minimal)if it is isomorphic to all its subgroups (pure subgroups, direct summands, respectively) of the same cardinality asGG. Obviously quasi-minimality implies pure quasi-minimality which in turn implies direct quasi-minimality, but we show that neither converse ...
Goldsmith, Brendan, hOgain, S. O, Wallutis, S.   +2 more
openaire   +4 more sources

Quantum Money from Abelian Group Actions [PDF]

TheoretiCS
We give a construction of public key quantum money, and even a strengthened version called quantum lightning, from abelian group actions, which can in turn be constructed from suitable isogenies over elliptic curves.
Mark Zhandry
doaj   +1 more source

Perpendicularity in an Abelian Group

International Journal of Mathematics and Mathematical Sciences, 2013
We give a set of axioms to establish a perpendicularity relation in an Abelian group and then study the existence of perpendicularities in (ℤn,+) and (ℚ+,·) and in certain other groups.
Pentti Haukkanen, Mika Mattila, Jorma K. Merikoski, Timo Tossavainen   +3 more
doaj   +1 more source

The Abelian Kernel of an Inverse Semigroup

Mathematics, 2020
The problem of computing the abelian kernel of a finite semigroup was first solved by Delgado describing an algorithm that decides whether a given element of a finite semigroup S belongs to the abelian kernel.
A. Ballester-Bolinches, V. Pérez-Calabuig   +1 more
doaj   +1 more source

Pseudo-abelian varieties [PDF]

, 2013
Chevalley's theorem states that every smooth connected algebraic group over a perfect field is an extension of an abelian variety by a smooth connected affine group. That fails when the base field is not perfect.
Totaro, Burt
core   +3 more sources

On Group-Vertex-Magic Labeling of Simple Graphs

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023
Let A be an Abelian group with identity 0. The A-vertex-magic labeling of a graph G is a mapping from the set of vertices in G to A-{0} such that the sum of the labels of every open neighborhood vertex of v is equal, for every vertex v in G.
Muhammad Husnul Khuluq, Vira Hari Krisnawati, Noor Hidayat   +2 more
doaj   +1 more source