Results 21 to 30 of about 1,787 (195)

Commutators and abelian groups [PDF]

Journal of the Australian Mathematical Society, 1977
AbstractIf G is a group, then K(G) is the set of commutators of elements of G. C is the class of groups such that G′ = K(G) is the minimal cardinality of any generating set of dG. We prove: Theorem A. Let G be a nilpotent group of class two such that G' is finite and d(G′) < 4.Then G < G.Theorm B.
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Tame logarithmic signatures of abelian groups

Journal of Mathematical Cryptology, 2017
The security of the asymmetric cryptosystem MST1{{}_{1}} relies on the hardness of factoring group elements with respect to a logarithmic signature. In this paper we investigate the factorization problem with respect to logarithmic signatures of abelian ...
Reichl Dominik
doaj   +1 more source

On finite A-perfect abelian groups [PDF]

International Journal of Group Theory, 2012
Let $G$ be a group and $A = Aut(G)$ be the group of automorphisms of $G$. Then the element $[g,alpha] = g^{-1}alpha(g)$ is an autocommutator of $gin G$ and $alphain A$.
Mohammad Mehdi Nasrabadi, Ali Gholamian
doaj  

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
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On terraces for abelian groups

Discrete Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

Ranks for Families of Theories of Abelian Groups

Известия Иркутского государственного университета: Серия "Математика", 2019
The rank for families of theories is similar to Morley rank and can be considered as a measure for complexity or richness of these families. Increasing the rank by extensions of families we produce more rich families and obtaining families with the ...
In. I. Pavlyuk, S.V. Sudoplatov
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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.
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Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14

Mathematische Nachrichten, EarlyView.
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley   +1 more source

The Two Extremal Rays of Some Hyper–Kähler Fourfolds

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider projective Hyper–Kähler manifolds of dimension 4 that are deformation equivalent to Hilbert squares of K3 surfaces. In case such a manifold admits a divisorial contraction, the exceptional divisor is a conic bundle over a K3 surface. A classification of lattice embeddings implies that there are five types of such conic bundles.
Federica Galluzzi, Bert van Geemen
wiley   +1 more source