Results 11 to 20 of about 167,102,035 (280)
On topological groups of automorphisms
Applied General TopologyWe study spaces X for which the space Homp(X) of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces X for which Homp(X) is or is not a topological group.
Raushan Buzyakova
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Endomorphisms of Some Groupoids of Order $k+k^2$
Известия Иркутского государственного университета: Серия "Математика", 2020 Automorphisms and endomorphisms are actively used in various theoretical studies. In particular, the theoretical interest in the study of automorphisms is due to the possibility of representing elements of a group by automorphisms of a certain algebraic ...
A.V. Litavrin
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Central Endomorphisms of Groups and Radical Rings [PDF]
Advances in Group Theory and Applications, 2023 An endomorphism γ of a group G is called a central endomorphism if x^-1 xγ lies into the centre Z(G) of G for each element x of G. It is easy to show that all non-zero central endomorphisms of G are automorphisms if and only if the ring R = Hom(G, Z(G ...
Alessio Russo, Mario Viscusi
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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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Some remarks on unipotent automorphisms [PDF]
International Journal of Group Theory, 2020 An automorphism $\alpha$ of the group $G$ is said to be $n$-unipotent if $[g,_n\alpha]=1$ for all $g\in G$. In this paper we obtain some results related to nilpotency of groups of $n$-unipotent automorphisms of solvable groups.
Orazio Puglisi, Gunnar Traustason
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Rational surfaces with a large group of automorphisms [PDF]
, 2011 We classify rational surfaces for which the image of the automorphisms group in the group of linear transformations of the Picard group is the largest possible.
Serge Cantat, I. Dolgachev
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The automorphism group of a valued field of generalised formal power series [PDF]
Journal of Algebra, 2021 . Let k be a field, G a totally ordered abelian group and K = k (( G )) the maximal field of generalised power series, endowed with the canonical valuation v [Hah07].
S. Kuhlmann, Michele Serra
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Algebraic reflexivity of isometry groups and automorphism groups of some operator structures [PDF]
, 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
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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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AUTOMORPHISM GROUPS OF QUANDLES [PDF]
Journal of Algebra and Its Applications, 2012 We prove that the automorphism group of the dihedral quandle with n elements is isomorphic to the affine group of the integers mod n, and also obtain the inner automorphism group of this quandle. In [B. Ho and S. Nelson, Matrices and finite quandles, Homology Homotopy Appl.7(1) (2005) 197–208.], automorphism groups of quandles (up to isomorphisms) of ...
Elhamdadi, Mohamed +2 more
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