Results 1 to 10 of about 9,504,920 (193)
On the automorphism group of a Lie group [PDF]
Proceedings of the American Mathematical Society, 1974 It is proved that the automorphism group of a connected real or complex Lie group contains an open real or complex algebraic subgroup. It follows that the identity component of the group of complex automorphisms of a connected complex Lie group is a ...
D. Wigner
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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 ...
Piff, M. J. +2 more
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The Automorphism Group of certain 3-Generator p-Groups [PDF]
Advances in Group Theory and Applications, 2022 A presentation as well as a structural description of the automorphism group of a family of 3-generator finite p-groups is given, p being an odd prime.
Fernando Szechtman
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Crypto-automorphism group of some quasigroups [PDF]
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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Automorphisms of Zappa–Szép Products [PDF]
Advances in Group Theory and Applications, 2022 In this paper, we have found the automorphism group of the Zappa–Szép product of two groups. Also, we have computed the automorphism group of the Zappa–Szép product of a cyclic group of order m and a cyclic group of order p^2, where p is a prime.
Ratan Lal, Vipul Kakkar
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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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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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