Results 11 to 20 of about 5,884 (248)
Automorphisms and Inner Automorphisms [PDF]
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
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Riemann surfaces with a quasi large abelian group of automorphisms
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
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Contributions to automorphisms of affine spaces [PDF]
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
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On the group of automorphisms of the algebra of plural numbers
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
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Algebraic reflexivity of isometry groups and automorphism groups of some operator structures [PDF]
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
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ON THE GROWTH OF GROUPS AND AUTOMORPHISMS [PDF]
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.
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Frobenius groups as groups of automorphisms [PDF]
We show that if G F H GFH
Makarenko, N. Yu., Shumyatsky, Pavel
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Automorphisms of Some Magmas of Order $k+k^2$
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
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The automorphisms and error orbits of Reed – Solomon codes
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
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Automorphisms of the affine Cremona group [PDF]
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
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