Results 21 to 30 of about 174,454,425 (228)

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

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   +4 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

Automorphisms of the Dihedral Groups [PDF]

open access: yesProceedings of the National Academy of Sciences, 1942
Not ...
openaire   +3 more sources

On Groups of Automorphism of Lie Groups [PDF]

open access: yesProceedings of the National Academy of Sciences, 1944
Not ...
openaire   +3 more sources

Possible Groups of Automorphisms [PDF]

open access: yesProceedings of the National Academy of Sciences, 1943
Not ...
openaire   +2 more sources

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

Automorphisms of real Lie algebras of dimension five or less [PDF]

open access: yes, 2013
The Lie algebra version of the Krull-Schmidt Theorem is formulated and proved. This leads to a method for constructing the automorphisms of a direct sum of Lie algebras from the automorphisms of its indecomposable components.
Gray, RJ   +8 more
core   +1 more source

Automorphisms of Group Extensions [PDF]

open access: yes, 2013
After a brief survey of the theory of group extensions and, in particular, of automorphisms of group extensions, we describe some recent reduction theorems for the inducibility problem for pairs of ...
Robinson, Derek J.S.
core   +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

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