Results 11 to 20 of about 5,884 (248)

Automorphisms and Inner Automorphisms [PDF]

open access: yesJournal of Mathematics, 2016
Let K be a field of characteristic not 2 and let A=A0+A1 be central simple superalgebra over K, and let ⁎ be superinvolution on A. Our main purpose is to classify the group of automorphisms and inner automorphisms of (A,⁎) (i.e., commuting with ⁎) by ...
Ameer Jaber, Moh’D Yasein
doaj   +2 more sources

Riemann surfaces with a quasi large abelian group of automorphisms

open access: yesLe Matematiche, 2011
In this work we classify all Riemann surfaces having a quasi large abelian group of automorphisms, i.e. having an abelian group of automorphisms of order strictly bigger than 2(g−1), where g denotes the genus of the Riemann surface.
Roberto Pignatelli, Carmen Raso
doaj   +2 more sources

Contributions to automorphisms of affine spaces [PDF]

open access: yes, 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

open access: yesДифференциальная 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   +2 more
doaj   +1 more source

Algebraic reflexivity of isometry groups and automorphism groups of some operator structures [PDF]

open access: yes, 2013
We establish the algebraic re exivity of three isometry groups of operator structures: The group of all surjective isometries on the unitary group, the group of all surjective isometries on the set of all positive invertible operators equipped with ...
Botelho, Fernanda   +2 more
core   +1 more source

ON THE GROWTH OF GROUPS AND AUTOMORPHISMS [PDF]

open access: yesInternational Journal of Algebra and Computation, 2005
We consider the growth functions βΓ(n) of amalgamated free products Γ = A *C B, where A ≅ B are finitely generated, C is free abelian and |A/C| = |A/B| = 2. For every d ∈ ℕ there exist examples with βΓ(n) ≃ nd+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among Dehn functions.
openaire   +3 more sources

Frobenius groups as groups of automorphisms [PDF]

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

Automorphisms of Some Magmas of Order $k+k^2$

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2018
This paper is devoted to the study of automorphisms of finite magmas and to the representation of the symmetric permutation group $ S_k $ and some of its subgroups by automorphism groups of finite magmas.
A.V. Litavrin
doaj   +1 more source

The automorphisms and error orbits of Reed – Solomon codes

open access: yesДоклады Белорусского государственного университета информатики и радиоэлектроники, 2020
The purpose of this work with its results presented in the article was to develop and transfer to the class of Reed – Solomon codes (RS-codes) the basic provisions of the theory of syndrome norms (TNS), previously developed for the noise-resistant coding
S. I. Semyonov, V. A. Lipnitsky
doaj   +1 more source

Automorphisms of the affine Cremona group [PDF]

open access: yes, 2013
We show that every automorphism of the group Gn := Aut(An) of polynomial automorphisms of complex affine n-space An = Cn is inner up to field automorphisms when restricted to the subgroup TGn of tame automorphisms.
Kraft, Hanspeter, Stampfli, Immanuel
core   +1 more source

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