Results 21 to 30 of about 118,465 (290)

1-Designs Constructed from the Groups $PSL_{2}(81)$ and $PSL_{2}(89)$ [PDF]

Journal of Mahani Mathematical Research, 2022
In this paper, some designs from the primitive permutation representations of the groups $PSL_2(81)$ and $PSL_2(89)$ are constructed using the Key-Moori Method 1. We determine the automorphism groups of all the obtained designs and prove that the groups $
Reza Kahkeshani
doaj   +1 more source

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.
openaire   +2 more sources

Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields [PDF]

Journal of Number Theory, 2019
We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can be realized as such automorphism groups.
WonTae Hwang
semanticscholar   +1 more source

The homotopy groups of the automorphism groups of Cuntz–Toeplitz algebras [PDF]

Journal of the Mathematical Society of Japan, 2019
The Cuntz-Toeplitz algebra $E_{n+1}$ for $n\geq1$ is the universal C*-algebra generated by $n+1$ isometries with mutually orthogonal ranges. In this paper, we investigate the automorphism groups of the Cuntz-Toeplitz algebras and determine their homotopy
Taro Sogabe
semanticscholar   +1 more source

On the automorphism groups of us-Cayley graphs [PDF]

The Art of Discrete and Applied Mathematics, 2019
Let $G$ be a finite abelian group written additively with identity $0$, and $\Omega$ be an inverse closed generating subset of $G$ such that $0\notin \Omega$.
S. Mirafzal
semanticscholar   +1 more source

From mapping class groups to automorphism groups of free groups [PDF]

, 2005
We show that the natural map from the mapping class groups of surfaces to the automorphism groups of free groups, induces an infinite loop map on the classifying spaces of the stable groups after plus construction.
Wahl, Nathalie
core   +2 more sources

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
openaire   +2 more sources

Automorphism Groups of Compact Complex Surfaces [PDF]

International mathematics research notices, 2017
We study automorphism groups and birational automorphism groups of compact complex surfaces. We show that the automorphism group of such a surface $X$ is always Jordan, and the birational automorphism group is Jordan unless $X$ is birational to a ...
Yuri Prokhorov, C. Shramov
semanticscholar   +1 more source

K3 surface entropy and automorphism groups [PDF]

Journal of Algebraic Geometry, 2022
We derive a characterization of the complex projective K3 surfaces which have automorphisms of positive entropy in terms of their Néron–Severi lattices.
Xun Yu
semanticscholar   +1 more source

FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES

Forum of Mathematics, Sigma, 2014
Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
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