Results 31 to 40 of about 66,912 (209)

Group manifolds and homogeneous spaces with HKT geometry: The role of automorphisms

Nuclear Physics B, 2020
We present a new simple proof of the fact that certain group manifolds as well as certain homogeneous spaces G/H of dimension 4n admit a triple of integrable complex structures that satisfy the quaternionic algebra and are covariantly constant with ...
A.V. Smilga
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Automorphisms of groups

Journal of Algebra, 2007
Let \({\mathcal E}\colon N\rightarrowtail G\twoheadrightarrow Q\) be a group extension with coupling \(\chi\colon Q\to\text{Out\,}N\). If \(\Aut\,{\mathcal E}=\{\gamma\in\Aut\,G\mid N^\gamma=N\}\), \(\text{Comp}(\chi)\) the group of all compatible pairs for \(\chi\) and \(A\) the center of \(N\) regarded as a \(Q\)-module via \(\chi\) then it is known [
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Automorphisms of monomial groups [PDF]

Pacific Journal of Mathematics, 1961
Dissertation (Ph. D.)--University of Kansas, Mathematics, 1955.
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Automophisms of Nil-Triangular Subrings of Algebras Chevalley Type $G_2$ Over Integral Domain. I

Известия Иркутского государственного университета: Серия "Математика"
Let $N\Phi(K)$ be the nil-triangular subalgebra of the Chevalley algebra over an associative commutative ring $K$ with the identity associated with a root system $\Phi$.
A. V. Kazakova
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Tame Automorphisms Fixing a Variable of Free Associative Algebras of Rank Three [PDF]

, 2006
We study automorphisms of the free associative algebra K over a field K which fix the variable z. We describe the structure of the group of z-tame automorphisms and derive algorithms which recognize z-tame automorphisms and z-tame ...
Drensky, Vesselin, Yu, Jie-Tai
core   +2 more sources

Finite cyclic q-group’s automorphisms with qr -generator

Data Analytics and Applied Mathematics
The finite cyclic q-group, where q being odd prime, requires generators to validate the formation of automorphisms. A summary of cyclic groups, automorphisms, and characteristics is provided as a foundation for this research.
Fatin Hanani Hasan, Mohd Sham Mohamad, Yuhani Yusof, Nor Amirah Mohd Busul Aklan, Siti Hasanah Jusoo, Ekkasit Sangwisut   +5 more
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On nilpotent filiform Lie algebras of dimension eight

International Journal of Mathematics and Mathematical Sciences, 2003
The aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent ...
P. Barbari, A. Kobotis
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Symmetries of quaternionic Kähler manifolds with S1‐symmetry

Transactions of the London Mathematical Society, 2021
We study symmetry properties of quaternionic Kähler manifolds obtained by the HK/QK correspondence. To any Lie algebra g of infinitesimal automorphisms of the initial hyper‐Kähler data, we associate a central extension of g, acting by infinitesimal ...
V. Cortés, A. Saha, D. Thung
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Automorphisms of Group Extensions [PDF]

Transactions of the American Mathematical Society, 1971
If 1 G I> E X-4 I -> 1 is a group extension, with t an inclusion, any automorphism T of E which takes G onto itself induces automorphisms T on G and a on 11. However, for a pair (a, T) of automorphism of 11 and G, there may not be an automorphism of E inducing the pair. Let Xx: H -IOut G be the homomorphism induced by the given extension. A pair (a, T)
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CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP

پژوهش‌های ریاضی, 2021
In this paper we classify finite p-groups (p>2 )  with metacyclic automorphism  group.  Particularly we prove that the automorphism group of group G is metacyclic if and only if  G is cyclic of order  p^n.
Shirin Fouladi
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