Results 21 to 30 of about 167,102,035 (280)

Automorphisms of extensions of Lie-Yamaguti algebras and Inducibility problem [PDF]

Journal of Algebra, 2023
Lie-Yamaguti algebras generalize both the notions of Lie algebras and Lie triple systems. In this paper, we consider the inducibility problem for automorphisms of extensions of Lie-Yamaguti algebras.
Saikat Goswami, S. K. Mishra, G. Mukherjee   +2 more
semanticscholar   +1 more source

Groups of basic automorphisms of chaotic Cartan foliations with Eresmann connection [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика
The purpose of the work is to study the groups of basic automorphisms of chaotic Cartan foliations with Ehresmann connection. Cartan foliations form a category where automorphisms preserve not only the foliation, but also its transverse Cartan geometry ...
Zhukova, Nina Ivanovna, Sheina, Kseniya Igorevna   +1 more
doaj   +1 more source

Automorphisms of Automorphism Groups of Free Groups

Journal of Algebra, 2000
The main result of the paper states that, for \(n\geq 3\), every automorphism of the outer automorphism group \(\text{Out}(F_n)\) of the free group \(F_n\) of rank \(n\) is an inner automorphism, or in other words that \(\text{Out}(\text{Out}(F_n))\) is the trivial group (and the same also for the automorphism group \(\Aut(F_n)\), a result obtained ...
Bridson, M, Vogtmann, K
openaire   +2 more sources

The Group of Automorphisms of the Algebra of one-Sided Inverses of a Polynomial Algebra. II [PDF]

Proceedings of the Edinburgh Mathematical Society, 2009
The algebra of one-sided inverses of a polynomial algebra Pn in n variables is obtained from Pn by adding commuting left (but not two-sided) inverses of the canonical generators of the algebra Pn.
V. Bavula
semanticscholar   +1 more source

Automorphisms of weighted projective hypersurfaces [PDF]

Journal of Pure and Applied Algebra, 2023
We prove several results concerning automorphism groups of quasismooth complex weighted projective hypersurfaces; these generalize and strengthen existing results for hypersurfaces in ordinary projective space.
L. Esser
semanticscholar   +1 more source

Contributions to automorphisms of affine spaces [PDF]

, 2013
We study aspects of the group G_n of polynomial automorphisms of the affine space A^n, the so-called affine Cremona group. Shafarevich introduced on G_n the structure of an ind-variety, an infinite-dimensional analogon to a (classical) variety.
Stampfli, Immanuel
core   +1 more source

On the group of automorphisms of the algebra of plural numbers

Дифференциальная геометрия многообразий фигур, 2023
The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov, G. A. Sultanova, O. A. Monakhova   +2 more
doaj   +1 more source

Semilattices with a group of automorphisms [PDF]

, 1997
We investigate semilattices expanded by a group F of automorphisms acting as new unary basic operations. We describe up to isomorphism all simple algebras of this kind in case that F is commutative.
Maróti, Miklós
core   +1 more source

On the group of automorphisms of cyclic covers of the Riemann sphere [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2003
This paper uses some recent calculations of Conder and Bujalance (on classifying finite index group extensions of Fuchsian groups with abelian quotient and torsion free kernel) in order to determine the full automorphism groups of some cylic coverings of
S. Kallel, D. Sjerve
semanticscholar   +1 more source

Frobenius groups as groups of automorphisms [PDF]

Proceedings of the American Mathematical Society, 2010
We show that if G F H GFH
Makarenko, N. Yu., Shumyatsky, Pavel
openaire   +2 more sources