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Tetravalent Arc-Transitive Graphs of Order 3p 2

Mohsen Ghasemi (2014)

Discussiones Mathematicae Graph Theory

Let s be a positive integer. A graph is s-transitive if its automorphism group is transitive on s-arcs but not on (s + 1)-arcs. Let p be a prime. In this article a complete classification of tetravalent s-transitive graphs of order 3p2 is given

Tetravalent non-normal Cayley graphs of order $4 p$ .

Zhou, Jin-Xin (2009)

The Electronic Journal of Combinatorics [electronic only]

The Automorphism Group of a Class of Semi-Groups.

George Szeto (1977)

Monatshefte für Mathematik

The automorphism group of some semigroups

Richard Byrd, Justin Lloyd, Franklin Pederson, James Stepp (1984)

Fundamenta Mathematicae

The classification of finite groups by using iteration digraphs

Uzma Ahmad, Muqadas Moeen (2016)

Czechoslovak Mathematical Journal

A digraph is associated with a finite group by utilizing the power map $f : G \to G$ defined by $f (x) = x^{k}$ for all $x \in G$ , where $k$ is a fixed natural number. It is denoted by $γ_{G} (n, k)$ . In this paper, the generalized quaternion and $2$ -groups are studied. The height structure is discussed for the generalized quaternion. The necessary and sufficient conditions on a power digraph of a $2$ -group are determined for a $2$ -group to be a generalized quaternion group. Further, the classification of two generated $2$ -groups as abelian or non-abelian...

The Conway-Norton algebras for ?(6,3), ?(7,3), F'24, and their full automorphism groups.

M. Kitazume (1987)

Inventiones mathematicae

The four known biplanes with k=11.

Salwach, Chester J., Mezzaroba, Joseph A. (1979)

International Journal of Mathematics and Mathematical Sciences

The group of automorphisms of algebraic function fields.

Robert C. Valentini, Daniel J. Madden (1983)

Journal für die reine und angewandte Mathematik

The local lifting problem for actions of finite groups on curves

Ted Chinburg, Robert Guralnick, David Harbater (2011)

Annales scientifiques de l'École Normale Supérieure

Let $k$ be an algebraically closed field of characteristic $p > 0$ . We study obstructions to lifting to characteristic $0$ the faithful continuous action $φ$ of a finite group $G$ on $k [[t]]$ . To each such $φ$ a theorem of Katz and Gabber associates an action of $G$ on a smooth projective curve $Y$ over $k$ . We say that the KGB obstruction of $φ$ vanishes if $G$ acts on a smooth projective curve $X$ in characteristic $0$ in such a way that $X / H$ and $Y / H$ have the same genus for all subgroups $H \subset G$ . We determine for which $G$ the KGB obstruction...