Results 51 to 60 of about 18,810 (231)

Characterizing Inner Automorphisms and Realizing Outer Automorphisms [PDF]

Advances in Group Theory and Applications
We give elementary proofs of the following two theorems on automorphisms of a finite group G: (1) An automorphism of G is inner if and only if it extends to an automorphism of every finite group containing G.
Benjamin Sambale
doaj   +1 more source

Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$

Mathematische Nachrichten, EarlyView.
ABSTRACT Let c=2ℵ0$\mathfrak {c}=2^{\aleph _0}$. We prove that ℓ∞$\ell _\infty$ contains 2c$2^{\mathfrak {c}}$ pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of c0$c_0$ and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [
Manuel González, Tomasz Kania
wiley   +1 more source

Automorphisms of Unitals

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stroppel, Markus, van Maldeghem, Hendrik
openaire   +3 more sources

Automorphism invariant measures and weakly generic automorphisms

Mathematical Logic Quarterly, 2022
AbstractLet be a countable ℵ0‐homogeneous structure. The primary motivation of this work is to study different amenability properties of (subgroups of) the automorphism group of ; the secondary motivation is to study the existence of weakly generic automorphisms of .
openaire   +1 more source

Nonlinear automorphism of the conformal algebra in 2D and continuous T T ¯ $$ \sqrt{T\overline{T}} $$ deformations

Journal of High Energy Physics, 2022
The conformal algebra in 2D (Diff(S 1)⨁Diff(S 1)) is shown to be preserved under a nonlinear map that mixes both chiral (holomorphic) generators T and T ¯ $$ \overline{T} $$ .
David Tempo, Ricardo Troncoso
doaj   +1 more source

A Boothby–Wang Construction in Generalized Contact Geometry

Mathematische Nachrichten, EarlyView.
ABSTRACT We establish a generalized analogue of the Boothby–Wang theorem in generalized contact geometry, along with related results. We present a general method for constructing examples of generalized contact structures that are not of Poon–Wade type, and even examples that fail to be generalized contact structures.
Debjit Pal
wiley   +1 more source

On Automorphisms of Subfactors

Journal of Functional Analysis, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

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

Graded Differential Polynomial Rings

Mathematische Nachrichten, EarlyView.
ABSTRACT We study differential polynomial rings R[t;δ]$R[t;\delta]$ over Γ$\Gamma$‐graded rings, where Γ$\Gamma$ is an arbitrary group. We show that R[t;δ]$R[t;\delta]$ admits a Γ$\Gamma$‐grading compatible with that of R$R$ if and only if δ$\delta$ is a γ$\gamma$‐derivation for some γ∈CΓ(ΓR)$\gamma \in C_\Gamma (\Gamma _R)$, and that this grading is ...
Yassine Ait Mohamed
wiley   +1 more source

Full Automorphism Group of (m, 2)-Graph in Finite Classical Polar Spaces

Axioms
Let Q be the finite classical polar space of rank ν≥1 over Fq, and Qm be the set of all m-dimensional subspaces of Q. In this paper, we introduce the (m, 2)-graph with Qm as its vertex set, and two vertices P, Q are adjacent if and only if P + Q is an (m
Yang Zhang, Shuxia Liu, Liwei Zeng
doaj   +1 more source