Results 1 to 10 of about 14,423,502 (287)
Crypto-automorphism group of some quasigroups
Discussiones Mathematicae - General Algebra and Applications, 2023 In quasigroup and loop theory, a pseudo-automorphism (with single companion) is known to generalize automorphism. In this work, the set of crypto-automorphisms (with twin companion) of a quasigroup with right and left identity elements were shown to form
Yakub Tunde Oyebo +2 more
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The automorphism group of a graphon
Journal of Algebra, 2015 We study the automorphism group of graphons (graph limits). We prove that after an appropriate "standardization" of the graphon, the automorphism group is compact.
László Lovasz, Balázs Szegedy
exaly +2 more sources
On the automorphism group of a matroid
Discrete Mathematics, 1972 We show that for any group H (finite or infinite) there exists an independence structure with automorphism group isomorphic to H. The proof is by construction and shows that for any H there is a geometric lattice with automorphism group isomorphic to H ...
Welsh, D.J.A. +5 more
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Rigid automorphisms of linking systems
Forum of Mathematics, Sigma, 2021 A rigid automorphism of a linking system is an automorphism that restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup.
George Glauberman, Justin Lynd
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On a relation between GAG codes and AG codes
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we first give a relationship between generalized algebraic geometry codes (GAG codes) and algebraic geometry codes (AG codes). More precisely, we show that a GAG code is contained (up to isomorphism) in a suitable AG code.
Şenel Engin, Öke Figen
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On some projective triply-even binary codes invariant under the Conway group ${\rm Co}_1$ [PDF]
International Journal of Group Theory, 2022 A binary triply-even $[98280, 25, 47104]_2$ code invariant under the sporadic simple group ${\rm Co}_1$ is constructed by adjoining the all-ones vector to the faithful and absolutely irreducible 24-dimensional code of length 98280. Using the action of ${\
Bernardo Rodrigues
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Automorphism groups of some variants of lattices
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper we consider variants of the power set and the lattice of subspaces and study automorphism groups of these variants. We obtain irreducible generating sets for variants of subsets of a finite set lattice and subspaces of a finite vector space
O.G. Ganyushkin, O.O. Desiateryk
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Automorphism group schemes of bielliptic and quasi-bielliptic surfaces [PDF]
Épijournal de Géométrie Algébrique, 2022 Bielliptic and quasi-bielliptic surfaces form one of the four classes of minimal smooth projective surfaces of Kodaira dimension $0$. In this article, we determine the automorphism schemes of these surfaces over algebraically closed fields of arbitrary ...
Gebhard Martin
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Semi-automorphisms of groups [PDF]
Proceedings of the American Mathematical Society, 1958 A semi-automorphism of a group G is a 1-1 mapping, X, of G onto itself such that 0(aba) =4(a)o(b)4(a) for all a, bEG. The nature of such mappings, in the special cases when G is the symmetric or alternating group (finite or infinite) and in a few other examples, was determined by Dinkines [I], who showed they must be automorphisms or anti-automorphisms.
Herstein, I. N., Ruchte, M. F.
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The Groups of Isometries of Metric Spaces over Vector Groups
Mathematics, 2022 In this paper, we consider the groups of isometries of metric spaces arising from finitely generated additive abelian groups. Let A be a finitely generated additive abelian group.
Sheng Bau, Yiming Lei
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