Results 11 to 20 of about 666 (191)

Rational torsion points on abelian surfaces with quaternionic multiplication

open access: yesForum of Mathematics, Sigma
Let A be an abelian surface over ${\mathbb {Q}}$ whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur’s theorem for elliptic curves, we show that the torsion subgroup of $A({\mathbb {Q}})$
Jef Laga   +3 more
doaj   +2 more sources

COMPUTING THE ENDOMORPHISM TYPE OF ORDINARY ELLIPTIC CURVES OVER FINITE FIELDS WITH KANT V4

open access: yesMathematical Software, 2002
Elliptic curve cryptography has received more and more attention from the security industry over the past years. Although some types of special curves have been successfully attacked, carefully chosen curves over prime fields, or over F2m with prime ...
M. Henningsen
openaire   +2 more sources

Endomorphisms of Artin groups of type D

open access: yesAlgebraic & Geometric Topology
In this paper we determine a classification of the endomorphisms of the Artin group $A [D_n]$ of type $D_n$ for $n\ge 6$. In particular we determine its automorphism group and its outer automorphism group. We also determine a classification of the homomorphisms from $A[D_n]$ to the Artin group $A [A_{n-1}]$ of type $A_{n-1}$ and a classification of the
Castel, Fabrice, Paris, Luis
core   +5 more sources

Cantor Type Basic Sets of Surface $A$-endomorphisms [PDF]

open access: yesNelineinaya Dinamika, 2021
The paper is devoted to an investigation of the genus of an orientable closed surface $M^{2}$ which admits $A$-endomorphisms whose nonwandering set contains a one-dimensional strictly invariant contracting repeller $\Lambda_{r}$ with a uniquely defined unstable bundle and with an admissible boundary of finite type. First, we prove that, if $M^{2}$ is a
Grines, V. Z., Zhuzhoma, E. V.
openaire   +1 more source

Nielsen Type Numbers of Self-Maps on the Real Projective Plane

open access: yesFixed Point Theory and Applications, 2010
Employing the induced endomorphism of the fundamental group and using the homotopy classification of self-maps of real projective plane , we compute completely two Nielsen type numbers, (f) and (f), which estimate the number of periodic points of f ...
Wang Jiaoyun
doaj   +1 more source

On linear shifts of finite type and their endomorphisms [PDF]

open access: yesJournal of Pure and Applied Algebra, 2022
In this new version, we have corrected a few typos and some ...
Ceccherini-Silberstein, Tullio   +2 more
openaire   +2 more sources

On the geometry of sub-Riemannian manifolds equipped with a canonical quarter-symmetric connection

open access: yesДифференциальная геометрия многообразий фигур, 2023
In this article, a sub-Riemannian manifold of contact type is under­stood as a Riemannian manifold equipped with a regular distribution of codimension-one and by a unit structure vector field orthogonal to this distribution. This vector field is called a
S. V. Galaev
doaj   +1 more source

On Anti-endomorphisms of Groupoids

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2023
In this paper, we study the problem of element-by-element description of the set of all anti-endomorphisms of an arbitrary groupoid. In particular, the structure of the set of all anti-automorphisms of a groupoid is studied. It turned out that the set of
A.V. Litavrin
doaj   +1 more source

Description of the automorphism groups of some Leibniz algebras

open access: yesResearches in Mathematics, 2023
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$.
L.A. Kurdachenko, O.O. Pypka, M.M. Semko
doaj   +1 more source

Connections with parallel skew-symmetric torsion on sub-Riemannian manifolds

open access: yesДифференциальная геометрия многообразий фигур, 2020
On a sub-Riemannian manifold M of contact type, is considered an N-connection defined by the pair (, N), where is an interior metric connection, is an endomorphism of the distribution D.
S. Galaev
doaj   +1 more source

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