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2-transitiv abstract ovals of odd order.

G. Korchmaros (1987)

Aequationes mathematicae

A Characterization of Ln (q) as a Permutation Group.

Michael O'Nan (1972)

Mathematische Zeitschrift

A characterization of Shapley index of power via automorphisms.

Francesc Carreras (1984)

Stochastica

In the class of complete games, the Shapley index of power is the characteristic invariant of the group of automorphisms, for these are exactly the permutations of players preserving the index.

A characterization of the Desarguesian planes of order $q^{2}$ by $S L (2, q)$ .

Foulser, D.A., Johnson, N.L., Ostrom, T.G. (1983)

International Journal of Mathematics and Mathematical Sciences

A classification of finite homogeneous semilinear spaces.

Devillers, Alice (2002)

Advances in Geometry

A classification of tetravalent one-regular graphs of order 3p²

Mohsen Ghasemi (2012)

Colloquium Mathematicae

A graph is one-regular if its automorphism group acts regularly on the set of its arcs. In this paper, tetravalent one-regular graphs of order 3p², where p is a prime, are classified.

A combinatorial proof of the extension property for partial isometries

Jan Hubička, Matěj Konečný, Jaroslav Nešetřil (2019)

Commentationes Mathematicae Universitatis Carolinae

We present a short and self-contained proof of the extension property for partial isometries of the class of all finite metric spaces.

A computation concerning doubly transitive permutation groups.

H. Zantema, A.M. Cohen (1984)

Journal für die reine und angewandte Mathematik

A Criterion for n-Fold Transitivity of Transformation Groups.

David P. Sumner (1974)

Elemente der Mathematik

A de Bruijn-type formula for enumerating patterns of partitions.

Dennis E. White (1977)

Aequationes mathematicae

A - finite actions and their automorphism groups.

S. Rankin, C. Reis (1982)

Semigroup forum

A GAP package for braid orbit computation and applications.

Magaard, Kay, Shpectorov, Sergey, Völklein, Helmut (2003)

Experimental Mathematics

A Geometric Characterization of Moufang Hexagons.

Mark A. Ronan (1980)

Inventiones mathematicae

A Note of Affine Planes with Transitive Collineation Groups.

Michael J. Kallaher (1977)

Mathematische Zeitschrift

A note on barely transitive permutation groups satisfying $m i n - 2$

M. Kuzucuoğlu (1993)

Rendiconti del Seminario Matematico della Università di Padova

A note on commuting graphs for symmetric groups.

Bates, C., Bundy, D., Hart, S., Rowley, P. (2009)

The Electronic Journal of Combinatorics [electronic only]

A note on simple medial quasigroups

K. K. Ščukin (1993)

Commentationes Mathematicae Universitatis Carolinae

A solvable primitive group with finitely generated abelian stabilizers is finite.

A note on solvable vertex stabilizers of $s$ -transitive graphs of prime valency

Song-Tao Guo, Hailong Hou, Yong Xu (2015)

Czechoslovak Mathematical Journal

A graph $X$ , with a group $G$ of automorphisms of $X$ , is said to be $(G, s)$ -transitive, for some $s \geq 1$ , if $G$ is transitive on $s$ -arcs but not on $(s + 1)$ -arcs. Let $X$ be a connected $(G, s)$ -transitive graph of prime valency $p \geq 5$ , and $G_{v}$ the vertex stabilizer of a vertex $v \in V (X)$ . Suppose that $G_{v}$ is solvable. Weiss (1974) proved that $| G_{v} {| ∣ p (p - 1)}^{2}$ . In this paper, we prove that $G_{v} ≅ (ℤ_{p} ⋊ ℤ_{m}) \times ℤ_{n}$ for some positive integers $m$ and $n$ such that $n div m$ and $m ∣ p - 1$ .

A Problem of W.A. Manning on Primitive Permutation Groups.

Leonard L. Scott, David M. Goldschmidt (1978)

Mathematische Zeitschrift

A Residual Property of Certain Free Products.

John S. Wilson, Chiara Tamburini (1984)

Mathematische Zeitschrift

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