Results 11 to 20 of about 174,454,425 (228)
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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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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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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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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Automorphisms of Automorphism Groups of Free Groups
Journal of Algebra, 2000 The main result of the paper states that, for \(n\geq 3\), every automorphism of the outer automorphism group \(\text{Out}(F_n)\) of the free group \(F_n\) of rank \(n\) is an inner automorphism, or in other words that \(\text{Out}(\text{Out}(F_n))\) is the trivial group (and the same also for the automorphism group \(\Aut(F_n)\), a result obtained ...
Bridson, M, Vogtmann, K
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Groups of basic automorphisms of chaotic Cartan foliations with Eresmann connection [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of the work is to study the groups of basic automorphisms of chaotic Cartan foliations with Ehresmann connection. Cartan foliations form a category where automorphisms preserve not only the foliation, but also its transverse Cartan geometry ...
Zhukova, Nina Ivanovna +1 more
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Contributions to automorphisms of affine spaces [PDF]
, 2013 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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Semilattices with a group of automorphisms [PDF]
, 1997 We investigate semilattices expanded by a group F of automorphisms acting as new unary basic operations. We describe up to isomorphism all simple algebras of this kind in case that F is commutative.
Maróti, Miklós
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Frobenius groups as groups of automorphisms [PDF]
Proceedings of the American Mathematical Society, 2010 We show that if G F H GFH
Makarenko, N. Yu., Shumyatsky, Pavel
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