Results 1 to 10 of about 80,402 (184)
Automorphisms and Inner Automorphisms [PDF]
Journal 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
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Automorphisms on complex simple Lie algebras of order 3
Kuwait 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
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3-Derivations and 3-Automorphisms on Lie Algebras
Mathematics, 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
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On automorphisms of strong semilattice of groups
Mathematics 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
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Smooth quotients of abelian surfaces by finite groups that fix the origin
Cubo, 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
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Proceedings of the London Mathematical Society, 2012 35 pages, v2 final version, to appear in Proc.
Assem, Ibrahim +2 more
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Generalization of Fuzzy Connectives
Axioms, 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
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Automorphisms of Dihedral-Like Automorphic Loops [PDF]
Communications in Algebra, 2015 Automorphic loops are loops in which all inner mappings are automorphisms. A large class of automorphic loops is obtained as follows: Let $m$ be a positive even integer, $G$ an abelian group, and $ $ an automorphism of $G$ that satisfies $ ^2=1$ if $m>2$.
Aboras, Mouna, Vojtěchovský, Petr
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On noninner automorphisms of finite $p$-groups that fix the center elementwise [PDF]
International 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
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Groups with some central automorphisms fixing the central kernel quotient [PDF]
Journal 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
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