Results 1 to 10 of about 11,763 (233)
Automorphisms and Inner Automorphisms [PDF]
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
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Automorphisms on complex simple Lie algebras of order 3
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
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3-Derivations and 3-Automorphisms on Lie Algebras
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
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On automorphisms of strong semilattice of groups
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
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Smooth quotients of abelian surfaces by finite groups that fix the origin
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
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Generalization of Fuzzy Connectives
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
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On noninner automorphisms of finite $p$-groups that fix the center elementwise [PDF]
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
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Representation of groups by automorphisms of normal topological spaces [PDF]
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
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New Techniques for SIDH-based NIKE
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
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Groups with some central automorphisms fixing the central kernel quotient [PDF]
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
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