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Transitive Deficiency One Parallelisms of PG(3, 7)
Consider the n-dimensional projective space PG(n,q) over a finite field with q elements. A spread in PG(n,q) is a set of lines which partition the point set. A parallelism is a partition of the set of lines by spreads.
Svetlana Topalova, Stela Zhelezova
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Automorphisms of Submanifolds [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Veronika Chrastinová +1 more
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35 pages, v2 final version, to appear in Proc.
Assem, Ibrahim +2 more
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Cluster automorphisms and quasi-automorphisms
We study the relation between the cluster automorphisms and the quasi-automorphisms of a cluster algebra $\mathcal{A}$. We proof that under some mild condition, satisfied for example by every skew-symmetric cluster algebra, the quasi-automorphism group of $\mathcal{A}$ is isomorphic to a subgroup of the cluster automorphism group of $\mathcal{A}_{triv}$
Wen Chang, Ralf Schiffler
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Recent developments on the power graph of finite groups – a survey
Algebraic graph theory is the study of the interplay between algebraic structures (both abstract as well as linear structures) and graph theory. Many concepts of abstract algebra have facilitated through the construction of graphs which are used as tools
Ajay Kumar +3 more
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On the Automorphisms of a Sfield [PDF]
Le rapporteur a introduit la notion de semi-automorphisme d'un anneau \(A\) [J. Reine Angew. Math. 184, 193--198 (1942; Zbl 0027.12102)] comme une correspondance \(a \leftrightarrow a'\) biunivoque de \(A\) sur lui-même avec les propriétés (1) \((a+b)' = a' + b'\), (2) \((ab)' + (ba)' = a'b' + b'a'\); et a démontré [Ann. Math.
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Consider the family of smooth curves \(w^i=w^i(x)\), \(i=1,\dots m,\) in \(\mathbb R^{m+1}\). The aim of the paper is to study transformations of the form \(\overline{x}=F(x,\dots,w^j_s,\dots)\), \(\overline{w}^i=F^i(x,\dots,w^j_s,\dots)\) and their higher order derivatives \(\overline{w}^i_r=F^i_r(x,\dots,w^j_s,\dots)\), where \(w^j_s=\frac{d^sw^j}{dx^
Tryhuk, Václav, Chrastinová, Veronika
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Perfect matching transitivity of circulant graphs.
A graph G is perfect matching transitive, shortly PM-transitive, if for any two perfect matchings M1 and M2 of G, there is an automorphism f : V(G)↦V(G) such that fe(M1)=M2, where fe(uv)=f(u)f(v).
Isaac Armando Reiter, Ju Zhou
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ACENTRALIZERS OF GROUPS OF ORDER p3 [PDF]
Suppose that $G$ is a finite group. The acentralizer $C_G(\alpha)$ of an automorphism $\alpha$ of $G$,is defined as the subgroup of fixed points of $\alpha$, that is $C_G(\alpha)= \{g \in G \mid \alpha(g)=g\}$.In this paper we determine the ...
Zahra Mozafar, Bijan Taeri
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Automorphisms of Automorphism Groups of Free Groups
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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