Results 1 to 10 of about 11,763 (233)

Automorphisms and Inner Automorphisms [PDF]

open access: yesJournal of Mathematics, 2016
Let K be a field of characteristic not 2 and let A=A0+A1 be central simple superalgebra over K, and let ⁎ be superinvolution on A. Our main purpose is to classify the group of automorphisms and inner automorphisms of (A,⁎) (i.e., commuting with ⁎) by ...
Ameer Jaber, Moh’D Yasein
doaj   +5 more sources

Automorphisms on complex simple Lie algebras of order 3

open access: yesKuwait Journal of Science, 2022
For complex simple Lie algebras, the article provides classification of all automorphisms of order 3. The method is an extension of Dynkin diagrams, so that the classification is a listing of diagrams which represent automorphisms of order 3.
Ching-I Hsin
doaj   +1 more source

3-Derivations and 3-Automorphisms on Lie Algebras

open access: yesMathematics, 2022
In this paper, first we establish the explicit relation between 3-derivations and 3- automorphisms of a Lie algebra using the differential and exponential map.
Haobo Xia
doaj   +1 more source

On automorphisms of strong semilattice of groups

open access: yesMathematics Open, 2022
In this paper, we consider the automorphisms of the strong semilattice of groups and relate them to the isomorphisms and automorphisms of underlying groups. We also provide a construction for non-trivial automorphisms of semilattices.
Aftab Hussain Shah   +2 more
doaj   +1 more source

Smooth quotients of abelian surfaces by finite groups that fix the origin

open access: yesCubo, 2022
Let $A$ be an abelian surface and let $G$ be a finite group of automorphisms of $A$ fixing the origin. Assume that the analytic representation of $G$ is irreducible. We give a classification of the pairs $(A,G)$ such that the quotient $A/G$ is smooth. In
Robert Auffarth   +2 more
doaj   +1 more source

Generalization of Fuzzy Connectives

open access: yesAxioms, 2022
This paper is centered around the creation of new fuzzy connectives using automorphism functions. The fuzzy connectives theory has been implemented in many problems and fields.
Stefanos Makariadis, Basil Papadopoulos
doaj   +1 more source

On noninner automorphisms of finite $p$-groups that fix the center elementwise [PDF]

open access: yesInternational Journal of Group Theory, 2019
In this paper we show that every finite nonabelian $p$-group $G$ in which the Frattini subgroup $Phi(G)$ has order $leq p^5$ admits a noninner automorphism of order $p$ leaving the center $Z(G)$ elementwise fixed.
S. Mohsen Ghoraishi
doaj   +1 more source

Representation of groups by automorphisms of normal topological spaces [PDF]

open access: yesКомпьютерные исследования и моделирование, 2009
The famous fact [3, 5] of existence of an exact representation for any finite group in the form of the full automorphism group of a finite graph was generalize in [4].
A. V. Koganov
doaj   +1 more source

New Techniques for SIDH-based NIKE

open access: yesJournal of Mathematical Cryptology, 2020
We consider the problem of producing an efficient, practical, quantum-resistant non-interactive key exchange (NIKE) protocol based on Supersingular Isogeny Diffie-Hellman (SIDH).
Urbanik David, Jao David
doaj   +1 more source

Groups with some central automorphisms fixing the central kernel quotient [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
Let $G$ be a group. An automorphism $\alpha$ of a group $G$ is called a central automorphism, if $x^{-1}x^{\alpha}\in Z(G)$ for all $x\in G$.
Rasoul Soleimani
doaj   +1 more source

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