Results 21 to 30 of about 32,457 (190)
Class-preserving Coleman automorphisms of some classes of finite groups
Open Mathematics, 2022 The normalizer problem of integral group rings has been studied extensively in recent years due to its connection with the longstanding isomorphism problem of integral group rings.
Hai Jingjing, Li Zhengxing, Ling Xian
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On the inner automorphisms of a singular foliation [PDF]
Mathematische Zeitschrift, 2018 5 pages, minor changes in second ...
Ori Yudilevich, Alfonso Garmendia
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Classification of Lie Subalgebras up to an Inner Automorphism [PDF]
Journal of Algebraic Systems, 2014 In this paper, a useful classification of all Lie subalgebras of a given Lie algebraup to an inner automorphism is presented. This method can be regarded as animportant connection between differential geometry and algebra and has many applications in ...
Seyed Reza Hejazi
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Orthogonal Inner Product Graphs over Finite Fields of Odd Characteristic
Journal of Mathematics, 2023 Let Fq be a finite field of odd characteristic and 2ν+δ≥2 be an integer with δ=0,1, or 2. The orthogonal inner product graph Oi2ν+δ,q over Fq is defined, and a class of subgroup of the automorphism groups of Oi2ν+δ,q is determined.
Shouxiang Zhao +3 more
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Exact sequences of inner automorphisms of tensors [PDF]
Journal of Algebra, 2020 16 pages, 2 ...
Brooksbank, Peter A. +2 more
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Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices
Journal of Mathematics, 2022 In this paper, the strongly ad-nilpotent elements of the Lie algebra tn,ℂ of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in tn,ℂ are strongly ad-nilpotent if and only if n≤6. Additionally, we prove that all the
Zhiguang Hu
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On the Inner Automorphisms of a Compact Group [PDF]
Nagoya Mathematical Journal, 1952 In this note, we give a characterization of inner automorphisms in the set of automorphisms of a compact connected group, and then apply it to give a proof of a theorem due to K. Iwasawa on the group of automorphisms of a compact group.
Murakami, Shingo, Gotô, Morikuri
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On inner automorphisms and certain central automorphisms of groups [PDF]
Indian Journal of Pure and Applied Mathematics, 2014 Let G be a group, let M and N be two normal subgroups of G. We denote by AutNM (G), the set of all automorphisms of G which centralize G/M and N. In this paper we investigate the structure of a group G in which one of the Inn(G) = AutNM (G), AutNM(G) ≤ Inn(G) or Inn(G) ≤ AutNM(G) holds.
Zahedeh Azhdari, Mehri Akhavan-Malayeri
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An application of Lie groupoids to a rigidity problem of 2-step nilmanifolds [PDF]
Mathematica Bohemica, 2019 We study a problem of isometric compact 2-step nilmanifolds $M/\Gamma$ using some information on their geodesic flows, where $M$ is a simply connected 2-step nilpotent Lie group with a left invariant metric and $\Gamma$ is a cocompact discrete subgroup ...
Hamid-Reza Fanaï, Atefeh Hasan-Zadeh
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$p$-Groups for which each outer $p$-automorphism centralizes only $p$ elements [PDF]
, 2013 An automorphism of a group is called outer if it is not an inner automorphism. Let $G$ be a finite $p$-group. Then for every outer $p$-automorphism $\phi$ of $G$ the subgroup $C_G(\phi)=\{x\in G \;|\; x^\phi=x\}$ has order $p$ if and only if $G$ is of ...
Abdollahi, Alireza, Ghoraishi, S. Mohsen
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