Results 1 to 10 of about 66,912 (209)
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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On refined neutrosophic finite p-group [PDF]
Journal of Fuzzy Extension and Applications, 2023 The neutrosophic automorphisms of a neutrosophic groups G (I) , denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (
Sunday Adebisi, Florentin Smarandache
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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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AUTOMORPHISM GROUPS OF QUANDLES [PDF]
Journal of Algebra and Its Applications, 2012 We prove that the automorphism group of the dihedral quandle with n elements is isomorphic to the affine group of the integers mod n, and also obtain the inner automorphism group of this quandle. In [B. Ho and S. Nelson, Matrices and finite quandles, Homology Homotopy Appl.7(1) (2005) 197–208.], automorphism groups of quandles (up to isomorphisms) of ...
Elhamdadi, Mohamed +2 more
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Semi-automorphisms of groups [PDF]
Proceedings of the American Mathematical Society, 1958 A semi-automorphism of a group G is a 1-1 mapping, X, of G onto itself such that 0(aba) =4(a)o(b)4(a) for all a, bEG. The nature of such mappings, in the special cases when G is the symmetric or alternating group (finite or infinite) and in a few other examples, was determined by Dinkines [I], who showed they must be automorphisms or anti-automorphisms.
Herstein, I. N., Ruchte, M. F.
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Endomorphisms of Some Groupoids of Order $k+k^2$
Известия Иркутского государственного университета: Серия "Математика", 2020 Automorphisms and endomorphisms are actively used in various theoretical studies. In particular, the theoretical interest in the study of automorphisms is due to the possibility of representing elements of a group by automorphisms of a certain algebraic ...
A.V. Litavrin
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Rigid automorphisms of linking systems
Forum of Mathematics, Sigma, 2021 A rigid automorphism of a linking system is an automorphism that restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup.
George Glauberman, Justin Lynd
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Some remarks on unipotent automorphisms [PDF]
International Journal of Group Theory, 2020 An automorphism $\alpha$ of the group $G$ is said to be $n$-unipotent if $[g,_n\alpha]=1$ for all $g\in G$. In this paper we obtain some results related to nilpotency of groups of $n$-unipotent automorphisms of solvable groups.
Orazio Puglisi, Gunnar Traustason
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On the group of automorphisms of the algebra of plural numbers
Дифференциальная геометрия многообразий фигур, 2023 The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov +2 more
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Groups of basic automorphisms of chaotic Cartan foliations with Eresmann connection [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of the work is to study the groups of basic automorphisms of chaotic Cartan foliations with Ehresmann connection. Cartan foliations form a category where automorphisms preserve not only the foliation, but also its transverse Cartan geometry ...
Zhukova, Nina Ivanovna +1 more
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