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On the automorphism groups of some Leibniz algebras [PDF]
International Journal of Group Theory, 2023 We study the automorphism groups of finite-dimensional cyclic Leibniz algebras. In this connection, we consider the relationships between groups, modules over associative rings and Leibniz algebras.
Leonid Kurdachenko +2 more
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Acylindrical hyperbolicity of automorphism groups of infinitely ended groups [PDF]
Journal of Topology, 2020 We prove that the automorphism group of every infinitely ended finitely generated group is acylindrically hyperbolic. In particular Aut(Fn) is acylindrically hyperbolic for every n⩾2 .
A. Genevois, Camille Horbez
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On abelian automorphism groups of hypersurfaces [PDF]
Israel Journal of Mathematics, 2020 Given integers d ≥ 3 and N ≥ 3, let G be a finite abelian group acting faithfully and linearly on a smooth hypersurface of degree d in the complex projective space ℙN−1. Suppose G ⊂ PGL(N, ℂ) can be lifted to a subgroup of GL(N, ℂ). Suppose moreover that
Zhiwei Zheng
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Automorphism groups of some variants of lattices
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper we consider variants of the power set and the lattice of subspaces and study automorphism groups of these variants. We obtain irreducible generating sets for variants of subsets of a finite set lattice and subspaces of a finite vector space
O.G. Ganyushkin, O.O. Desiateryk
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A new characterization of the automorphism groups of Mathieu groups
Open Mathematics, 2021 Let cd(G){\rm{cd}}\left(G) be the set of irreducible complex character degrees of a finite group GG. ρ(G)\rho \left(G) denotes the set of primes dividing degrees in cd(G){\rm{cd}}\left(G).
Liu Xin, Chen Guiyun, Yan Yanxiong
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Automorphism Groups of Certain Enriques Surfaces [PDF]
Foundations of Computational Mathematics, 2020 We calculate the automorphism group of certain Enriques surfaces. The Enriques surfaces that we investigate include very general n-nodal Enriques surfaces and very general cuspidal Enriques surfaces.
Simon Brandhorst, I. Shimada
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The point regular automorphism groups of the Payne derived quadrangle of W(q) [PDF]
Journal of Combinatorial Theory, 2019 In this paper, we completely determine the point regular automorphism groups of the Payne derived quadrangle of the symplectic quadrangle $W(q)$, $q$ odd.
Tao Feng, Weicong Li
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On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [PDF]
International Journal of Group Theory, 2022 For an odd prime $p$ and a positive integer $n$, it is well known that there are two types of extra-special $p$-groups of order $p^{2n+1}$, first one is the Heisenberg group which has exponent $p$ and the second one is of exponent $p^2$.
Chudamani Pranesachar Anil Kumar +1 more
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Frobenius groups as groups of automorphisms [PDF]
Proceedings of the American Mathematical Society, 2010 We show that if G F H GFH
Makarenko, N. Yu., Shumyatsky, Pavel
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Description of the automorphism groups of some Leibniz algebras
Researches 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
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