Results 1 to 10 of about 30,021 (207)

An inner automorphism is only an inner automorphism, but an inner endomorphism can be something strange [PDF]

Publicacions Matemàtiques, 2011
The inner automorphisms of a group G can be characterized within the category of groups without reference to group elements: they are precisely those automorphisms of G that can be extended, in a functorial manner, to all groups H given with ...
Bergman, George M.
core   +14 more sources

A Complex Structure for Two-Typed Tangent Spaces [PDF]

Entropy
This study concerns Riemannian manifolds with two types of tangent vectors. Let it be given that there are two subspaces of a tangent space with the property that each tangent vector has a unique decomposition as the sum of a vector in one subspace and a
Jan Naudts
doaj   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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, Hengbin Zhang, Jizhu Nan, Gaohua Tang   +3 more
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

$p$-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
core   +3 more sources

BMS3 (Carrollian) field theories from a bound in the coupling of current-current deformations of CFT2

Journal of High Energy Physics, 2023
Two types of Carrollian field theories are shown to emerge from finite current-current deformations of toroidal CFT2’s when the deformation coupling is precisely fixed, up to a sign.
Pulastya Parekh, David Tempo, Ricardo Troncoso   +2 more
doaj   +1 more source