Results 41 to 50 of about 30,476 (209)
Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups [PDF]
Purpose – The purpose of this study is to classify harmonic homomorphisms ϕ : (G, g) → (H, h), where G, H are connected and simply connected three-dimensional unimodular Lie groups and g, h are left-invariant Riemannian metrics.
Zagane Abdelkader +2 more
doaj +1 more source
A symplectic fission scheme for the association scheme of rectangular matrices and its automorphisms
In this paper, a symplectic fission scheme for the association scheme of $ m\times n $ rectangular matrices over the finite field $ \mathbb{F}_q $, denoted by $ {\rm{SMat}}(m\times n, q) $, is constructed, where $ q $ is a power of a prime number.
Yang Zhang , Shuxia Liu, Liwei Zeng
doaj +1 more source
Skew group rings which are Galois
Let S*G be a skew group ring of a finite group G over a ring S. It is shown that if S*G is an G′-Galois extension of (S*G)G′, where G′ is the inner automorphism group of S*G induced by the elements in G, then S is a G-Galois extension of SG.
George Szeto, Lianyong Xue
doaj +1 more source
Pointwise Inner Automorphisms of Injective Factors
The authors show that for the injective factor of type \(\text{III}_ 1\) with separable predual, an automorphism is pointwise inner if and only if it is the composition of an inner and a modular automorphism.
Haagerup, U., Stormer, E.
openaire +2 more sources
On Galois projective group rings
Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in A/α in a finite group G whose order is invertible}.
George Szeto, Linjun Ma
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On finite $p$-groups whose automorphisms are all central
An automorphism $\alpha$ of a group $G$ is said to be central if $\alpha$ commutes with every inner automorphism of $G$. We construct a family of non-special finite $p$-groups having abelian automorphism groups. These groups provide counter examples to a
A. Jamali +21 more
core +1 more source
On the Root-class Residuality of HNN-extensions of Groups
Let K be an arbitrary root class of groups. This means that K contains at least one non-unit group, is closed under taking subgroups and direct products of a finite number of factors and satisfies the Gruenberg condition: if 1 ≤ Z ≤ Y ≤ X is a subnormal ...
E. A. Tumanova
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Splitting automorphisms of prime power orders of free Burnside groups
We prove that if the order of a splitting automorphism of free Burnside group~$B(m,n)$ of odd period~$n\ge1003$ is a prime power, then the automorphism is inner.
Atabekyan, Varujan S.
core +1 more source
LOCALLY INNER AUTOMORPHISMS OF OPERATOR ALGEBRAS [PDF]
17 pages; some substantive changes to the last section ("problems and comments")
openaire +2 more sources
Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source

