Results 11 to 20 of about 1,144 (198)

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

Central Automorphisms of Zappa–Szép Products [PDF]

Advances in Group Theory and Applications
In this paper, the central automorphism group of the Zappa-Szép product of two groups is obtained.
Ratan Lal, Vipul Kakkar
doaj   +1 more source

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
doaj   +1 more source

A generalization of Pappus graph

Electronic Journal of Graph Theory and Applications, 2022
In this paper, we introduce a new family of cubic graphs Γ(m), called Generalized Pappus graphs, where m ≥ 3. We compute the automorphism group of Γ(m) and characterize when it is a Cayley graph.
Sucharita Biswas, Angsuman Das
doaj   +1 more source

ON THE GROWTH OF GROUPS AND AUTOMORPHISMS [PDF]

International Journal of Algebra and Computation, 2005
We consider the growth functions βΓ(n) of amalgamated free products Γ = A *C B, where A ≅ B are finitely generated, C is free abelian and |A/C| = |A/B| = 2. For every d ∈ ℕ there exist examples with βΓ(n) ≃ nd+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among Dehn functions.
openaire   +3 more sources

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
openaire   +2 more sources

Description of the automorphism groups of some Leibniz algebras

Researches in Mathematics, 2023
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$.
L.A. Kurdachenko, O.O. Pypka, M.M. Semko
doaj   +1 more source

Classifying cubic symmetric graphs of order 52p2; pp. 55–60 [PDF]

Proceedings of the Estonian Academy of Sciences, 2023
An automorphism group of a graph is said to be s-regular if it acts regularly on the set of s-arcs in the graph. A graph is s-regular if its full automorphism group is s-regular.
Shangjing Hao, Shixun Lin
doaj   +1 more source

On Groups of Automorphism of Lie Groups [PDF]

Proceedings of the National Academy of Sciences, 1944
Not ...
openaire   +3 more sources

Automorphisms of the Dihedral Groups [PDF]

Proceedings of the National Academy of Sciences, 1942
Not ...
openaire   +3 more sources